400290960 has 80 divisors (see below), whose sum is σ = 1253026944. Its totient is φ = 105701376.

The previous prime is 400290953. The next prime is 400290983. The reversal of 400290960 is 69092004.

400290960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16624 + ... + 32816.

Almost surely, 2^400290960 is an apocalyptic number.

400290960 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 400290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626513472).

400290960 is an abundant number, since it is smaller than the sum of its proper divisors (852735984).

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

400290960 is a wasteful number, since it uses less digits than its factorization.

400290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16312 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 400290960 is about 20007.2726777040. The cubic root of 400290960 is about 736.9849073961.

The spelling of 400290960 in words is "four hundred million, two hundred ninety thousand, nine hundred sixty".