400625000 has 64 divisors (see below), whose sum is σ = 940427280. Its totient is φ = 160000000.

The previous prime is 400624993. The next prime is 400625041. The reversal of 400625000 is 526004.

It can be written as a sum of positive squares in 8 ways, for example, as 300744964 + 99880036 = 17342^2 + 9994^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 400625000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624680 + ... + 625320.

Almost surely, 2^400625000 is an apocalyptic number.

400625000 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 400625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470213640).

400625000 is an abundant number, since it is smaller than the sum of its proper divisors (539802280).

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

400625000 is an frugal number, since it uses more digits than its factorization.

400625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 400625000 is about 20015.6189012481. The cubic root of 400625000 is about 737.1898533110.

The spelling of 400625000 in words is "four hundred million, six hundred twenty-five thousand".