400590240 has 96 divisors (see below), whose sum is σ = 1274507136. Its totient is φ = 105753600.

The previous prime is 400590199. The next prime is 400590251. The reversal of 400590240 is 42095004.

It is a tau number, because it is divible by the number of its divisors (96).

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 400590240.

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, 44349 + ... + 52611.

It is an arithmetic number, because the mean of its divisors is an integer number (13276116).

Almost surely, 2^400590240 is an apocalyptic number.

400590240 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 400590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637253568).

400590240 is an abundant number, since it is smaller than the sum of its proper divisors (873916896).

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

400590240 is a wasteful number, since it uses less digits than its factorization.

400590240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 400590240 is about 20014.7505605241. The cubic root of 400590240 is about 737.1685320751.

The spelling of 400590240 in words is "four hundred million, five hundred ninety thousand, two hundred forty".