400451000 has 128 divisors (see below), whose sum is σ = 981676800. Its totient is φ = 152755200.

The previous prime is 400450991. The next prime is 400451033. The reversal of 400451000 is 154004.

400451000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400451000² = 320722006802000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2922932 + ... + 2923068.

It is an arithmetic number, because the mean of its divisors is an integer number (7669350).

Almost surely, 2^400451000 is an apocalyptic number.

400451000 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 400451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490838400).

400451000 is an abundant number, since it is smaller than the sum of its proper divisors (581225800).

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

400451000 is a wasteful number, since it uses less digits than its factorization.

400451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 400451000 is about 20011.2718236498. The cubic root of 400451000 is about 737.0831120865.

The spelling of 400451000 in words is "four hundred million, four hundred fifty-one thousand".