400480416 has 192 divisors, whose sum is σ = 1393459200. Its totient is φ = 109410048.

The previous prime is 400480411. The next prime is 400480427. The reversal of 400480416 is 614084004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400480416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400480411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137665 + ... + 140543.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^400480416 is an apocalyptic number.

400480416 is a gapful number since it is divisible by the number (46) 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 400480416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

400480416 is an abundant number, since it is smaller than the sum of its proper divisors (992978784).

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

400480416 is a wasteful number, since it uses less digits than its factorization.

400480416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 400480416 is about 20012.0067959213. The cubic root of 400480416 is about 737.1011596594.

The spelling of 400480416 in words is "four hundred million, four hundred eighty thousand, four hundred sixteen".