456401043252 has 144 divisors (see below), whose sum is σ = 1439109095424. Its totient is φ = 118483560000.

The previous prime is 456401043251. The next prime is 456401043253. The reversal of 456401043252 is 252340104654.

456401043252 is a `hidden beast` number, since 4 + 5 + 640 + 1 + 0 + 4 + 3 + 2 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (456401043251) and next prime (456401043253).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456401043251) 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, 5365977 + ... + 5450367.

Almost surely, 2^456401043252 is an apocalyptic number.

456401043252 is a gapful number since it is divisible by the number (42) 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 456401043252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719554547712).

456401043252 is an abundant number, since it is smaller than the sum of its proper divisors (982708052172).

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

456401043252 is a wasteful number, since it uses less digits than its factorization.

456401043252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86370 (or 86365 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 456401043252 in words is "four hundred fifty-six billion, four hundred one million, forty-three thousand, two hundred fifty-two".