456004962 has 48 divisors (see below), whose sum is σ = 1134948672. Its totient is φ = 129618720.

The previous prime is 456004949. The next prime is 456004973. The reversal of 456004962 is 269400654.

456004962 is a `hidden beast` number, since 4 + 5 + 600 + 49 + 6 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15637 + ... + 34007.

It is an arithmetic number, because the mean of its divisors is an integer number (23644764).

Almost surely, 2^456004962 is an apocalyptic number.

456004962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 456004962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567474336).

456004962 is an abundant number, since it is smaller than the sum of its proper divisors (678943710).

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

456004962 is a wasteful number, since it uses less digits than its factorization.

456004962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18583 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 456004962 is about 21354.2726872165. The cubic root of 456004962 is about 769.7030180965.

The spelling of 456004962 in words is "four hundred fifty-six million, four thousand, nine hundred sixty-two".