400932480 has 128 divisors (see below), whose sum is σ = 1376363520. Its totient is φ = 98684928.

The previous prime is 400932479. The next prime is 400932533. The reversal of 400932480 is 84239004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) 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 (30).

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, 16929 + ... + 32991.

It is an arithmetic number, because the mean of its divisors is an integer number (10752840).

Almost surely, 2^400932480 is an apocalyptic number.

400932480 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 400932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688181760).

400932480 is an abundant number, since it is smaller than the sum of its proper divisors (975431040).

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

400932480 is a wasteful number, since it uses less digits than its factorization.

400932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16098 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 400932480 is about 20023.2984295795. The cubic root of 400932480 is about 737.3784030110.

The spelling of 400932480 in words is "four hundred million, nine hundred thirty-two thousand, four hundred eighty".