400490496 has 204 divisors, whose sum is σ = 1335875632. Its totient is φ = 113246208.

The previous prime is 400490459. The next prime is 400490647. The reversal of 400490496 is 694094004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400490496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4128720 + ... + 4128816.

Almost surely, 2^400490496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667937816).

400490496 is an abundant number, since it is smaller than the sum of its proper divisors (935385136).

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

400490496 is an frugal number, since it uses more digits than its factorization.

400490496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 400490496 is about 20012.2586431417. The cubic root of 400490496 is about 737.1073438298.

The spelling of 400490496 in words is "four hundred million, four hundred ninety thousand, four hundred ninety-six".