400814400 has 336 divisors, whose sum is σ = 1531965440. Its totient is φ = 89856000.

The previous prime is 400814371. The next prime is 400814419. The reversal of 400814400 is 4418004.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2654325 + ... + 2654475.

Almost surely, 2^400814400 is an apocalyptic number.

400814400 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 400814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765982720).

400814400 is an abundant number, since it is smaller than the sum of its proper divisors (1131151040).

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

400814400 is a wasteful number, since it uses less digits than its factorization.

400814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 400814400 is about 20020.3496472964. The cubic root of 400814400 is about 737.3060066224.

The spelling of 400814400 in words is "four hundred million, eight hundred fourteen thousand, four hundred".