400239360 has 288 divisors, whose sum is σ = 1463340480. Its totient is φ = 103514112.

The previous prime is 400239349. The next prime is 400239379. The reversal of 400239360 is 63932004.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1278564 + ... + 1278876.

Almost surely, 2^400239360 is an apocalyptic number.

400239360 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 400239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731670240).

400239360 is an abundant number, since it is smaller than the sum of its proper divisors (1063101120).

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

400239360 is a wasteful number, since it uses less digits than its factorization.

400239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 400239360 is about 20005.9831050613. The cubic root of 400239360 is about 736.9532387191.

The spelling of 400239360 in words is "four hundred million, two hundred thirty-nine thousand, three hundred sixty".