456255360 has 384 divisors, whose sum is σ = 1813968000. Its totient is φ = 104509440.

The previous prime is 456255353. The next prime is 456255431. The reversal of 456255360 is 63552654.

It is a happy number.

456255360 is a `hidden beast` number, since 45 + 6 + 2 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203651 + ... + 1204029.

It is an arithmetic number, because the mean of its divisors is an integer number (4723875).

Almost surely, 2^456255360 is an apocalyptic number.

456255360 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 456255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906984000).

456255360 is an abundant number, since it is smaller than the sum of its proper divisors (1357712640).

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

456255360 is a wasteful number, since it uses less digits than its factorization.

456255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 456255360 is about 21360.1348310351. The cubic root of 456255360 is about 769.8438768195.

The spelling of 456255360 in words is "four hundred fifty-six million, two hundred fifty-five thousand, three hundred sixty".