412457430 has 256 divisors, whose sum is σ = 1313832960. Its totient is φ = 80371200.

The previous prime is 412457429. The next prime is 412457443. The reversal of 412457430 is 34754214.

It is a super-2 number, since 2×412457430² = 340242263124409800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3148465 + ... + 3148595.

It is an arithmetic number, because the mean of its divisors is an integer number (5132160).

Almost surely, 2^412457430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412457430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656916480).

412457430 is an abundant number, since it is smaller than the sum of its proper divisors (901375530).

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

412457430 is a wasteful number, since it uses less digits than its factorization.

412457430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 412457430 is about 20309.0479835959. The cubic root of 412457430 is about 744.3771681405.

The spelling of 412457430 in words is "four hundred twelve million, four hundred fifty-seven thousand, four hundred thirty".