456060960 has 288 divisors, whose sum is σ = 1644027840. Its totient is φ = 114960384.

The previous prime is 456060959. The next prime is 456060961. The reversal of 456060960 is 69060654.

It is a happy number.

456060960 is a `hidden beast` number, since 4 + 560 + 6 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (456060959) and next prime (456060961).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×456060960² = 415983198472243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (456060961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2797839 + ... + 2798001.

It is an arithmetic number, because the mean of its divisors is an integer number (5708430).

Almost surely, 2^456060960 is an apocalyptic number.

456060960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822013920).

456060960 is an abundant number, since it is smaller than the sum of its proper divisors (1187966880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456060960 is a wasteful number, since it uses less digits than its factorization.

456060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 456060960 is about 21355.5838131389. The cubic root of 456060960 is about 769.7345236494.

The spelling of 456060960 in words is "four hundred fifty-six million, sixty thousand, nine hundred sixty".