456214430 has 64 divisors (see below), whose sum is σ = 1000304640. Its totient is φ = 146408064.

The previous prime is 456214411. The next prime is 456214463. The reversal of 456214430 is 34412654.

It is a super-2 number, since 2×456214430² = 416263212280449800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 456214393 and 456214402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72656 + ... + 78684.

It is an arithmetic number, because the mean of its divisors is an integer number (15629760).

Almost surely, 2^456214430 is an apocalyptic number.

456214430 is an abundant number, since it is smaller than the sum of its proper divisors (544090210).

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

456214430 is a wasteful number, since it uses less digits than its factorization.

456214430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113.

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 456214430 is about 21359.1767163437. The cubic root of 456214430 is about 769.8208556089.

The spelling of 456214430 in words is "four hundred fifty-six million, two hundred fourteen thousand, four hundred thirty".