400428960 has 96 divisors (see below), whose sum is σ = 1292179392. Its totient is φ = 104171520.

The previous prime is 400428887. The next prime is 400428979. The reversal of 400428960 is 69824004.

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

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, 9507 + ... + 29853.

It is an arithmetic number, because the mean of its divisors is an integer number (13460202).

Almost surely, 2^400428960 is an apocalyptic number.

400428960 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 400428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646089696).

400428960 is an abundant number, since it is smaller than the sum of its proper divisors (891750432).

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

400428960 is a wasteful number, since it uses less digits than its factorization.

400428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20406 (or 20398 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 400428960 is about 20010.7211264362. The cubic root of 400428960 is about 737.0695893252.

The spelling of 400428960 in words is "four hundred million, four hundred twenty-eight thousand, nine hundred sixty".