400254400 has 168 divisors, whose sum is σ = 1212596000. Its totient is φ = 126627840.

The previous prime is 400254377. The next prime is 400254427. The reversal of 400254400 is 4452004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144226 + ... + 146974.

Almost surely, 2^400254400 is an apocalyptic number.

400254400 is a gapful number since it is divisible by the number (40) 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 400254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606298000).

400254400 is an abundant number, since it is smaller than the sum of its proper divisors (812341600).

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

400254400 is a wasteful number, since it uses less digits than its factorization.

400254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 400254400 is about 20006.3589890814. The cubic root of 400254400 is about 736.9624695603.

The spelling of 400254400 in words is "four hundred million, two hundred fifty-four thousand, four hundred".