456474240 has 384 divisors, whose sum is σ = 1715313600. Its totient is φ = 111476736.

The previous prime is 456474211. The next prime is 456474241. The reversal of 456474240 is 42474654.

456474240 is a `hidden beast` number, since 4 + 5 + 647 + 4 + 2 + 4 + 0 = 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 junction number, because it is equal to n+sod(n) for n = 456474195 and 456474204.

It is not an unprimeable number, because it can be changed into a prime (456474241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4705872 + ... + 4705968.

Almost surely, 2^456474240 is an apocalyptic number.

456474240 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 456474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857656800).

456474240 is an abundant number, since it is smaller than the sum of its proper divisors (1258839360).

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

456474240 is a wasteful number, since it uses less digits than its factorization.

456474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 456474240 is about 21365.2577798631. The cubic root of 456474240 is about 769.9669632197.

The spelling of 456474240 in words is "four hundred fifty-six million, four hundred seventy-four thousand, two hundred forty".