456670412352 has 448 divisors, whose sum is σ = 1676456570880. Its totient is φ = 118427443200.

The previous prime is 456670412347. The next prime is 456670412357. The reversal of 456670412352 is 253214076654.

456670412352 is a `hidden beast` number, since 4 + 566 + 70 + 4 + 12 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (456670412347) and next prime (456670412357).

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 456670412298 and 456670412307.

It is not an unprimeable number, because it can be changed into a prime (456670412357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96729352 + ... + 96734072.

It is an arithmetic number, because the mean of its divisors is an integer number (3742090560).

Almost surely, 2^456670412352 is an apocalyptic number.

456670412352 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 456670412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838228285440).

456670412352 is an abundant number, since it is smaller than the sum of its proper divisors (1219786158528).

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

456670412352 is a wasteful number, since it uses less digits than its factorization.

456670412352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 456670412352 in words is "four hundred fifty-six billion, six hundred seventy million, four hundred twelve thousand, three hundred fifty-two".