400266624 has 64 divisors (see below), whose sum is σ = 1071000000. Its totient is φ = 132444672.

The previous prime is 400266619. The next prime is 400266697. The reversal of 400266624 is 426662004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 400266591 and 400266600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49627 + ... + 57125.

It is an arithmetic number, because the mean of its divisors is an integer number (16734375).

Almost surely, 2^400266624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535500000).

400266624 is an abundant number, since it is smaller than the sum of its proper divisors (670733376).

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

400266624 is a wasteful number, since it uses less digits than its factorization.

400266624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 400266624 is about 20006.6644896145. The cubic root of 400266624 is about 736.9699719034.

The spelling of 400266624 in words is "four hundred million, two hundred sixty-six thousand, six hundred twenty-four".