400475040 has 144 divisors (see below), whose sum is σ = 1467541152. Its totient is φ = 91531776.

The previous prime is 400475029. The next prime is 400475063. The reversal of 400475040 is 40574004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400475040.

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, 15007 + ... + 32033.

It is an arithmetic number, because the mean of its divisors is an integer number (10191258).

Almost surely, 2^400475040 is an apocalyptic number.

400475040 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 400475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733770576).

400475040 is an abundant number, since it is smaller than the sum of its proper divisors (1067066112).

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

400475040 is a wasteful number, since it uses less digits than its factorization.

400475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17059 (or 17044 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 400475040 is about 20011.8724761078. The cubic root of 400475040 is about 737.0978613928.

The spelling of 400475040 in words is "four hundred million, four hundred seventy-five thousand, forty".