400664880 has 600 divisors, whose sum is σ = 1772032416. Its totient is φ = 82114560.

The previous prime is 400664867. The next prime is 400664881. The reversal of 400664880 is 88466004.

400664880 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 648 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (400664881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5488524 + ... + 5488596.

Almost surely, 2^400664880 is an apocalyptic number.

400664880 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 400664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886016208).

400664880 is an abundant number, since it is smaller than the sum of its proper divisors (1371367536).

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

400664880 is a wasteful number, since it uses less digits than its factorization.

400664880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 400664880 is about 20016.6150984626. The cubic root of 400664880 is about 737.2143135551.

It can be divided in two parts, 4006 and 64880, that added together give a palindrome (68886).

The spelling of 400664880 in words is "four hundred million, six hundred sixty-four thousand, eight hundred eighty".