400412430 has 128 divisors (see below), whose sum is σ = 1202688000. Its totient is φ = 93916800.

The previous prime is 400412429. The next prime is 400412443. The reversal of 400412430 is 34214004.

It is a super-2 number, since 2×400412430² = 320660228197009800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89896 + ... + 94244.

It is an arithmetic number, because the mean of its divisors is an integer number (9396000).

Almost surely, 2^400412430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400412430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601344000).

400412430 is an abundant number, since it is smaller than the sum of its proper divisors (802275570).

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

400412430 is a wasteful number, since it uses less digits than its factorization.

400412430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400412430 is about 20010.3080935802. The cubic root of 400412430 is about 737.0594469286.

Adding to 400412430 its reverse (34214004), we get a palindrome (434626434).

The spelling of 400412430 in words is "four hundred million, four hundred twelve thousand, four hundred thirty".