400496640 has 96 divisors (see below), whose sum is σ = 1281374640. Its totient is φ = 106790912.

The previous prime is 400496639. The next prime is 400496671. The reversal of 400496640 is 46694004.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24202 + ... + 37238.

Almost surely, 2^400496640 is an apocalyptic number.

400496640 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 400496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640687320).

400496640 is an abundant number, since it is smaller than the sum of its proper divisors (880878000).

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

400496640 is a wasteful number, since it uses less digits than its factorization.

400496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 400496640 is about 20012.4121484643. The cubic root of 400496640 is about 737.1111131780. Note that the first 5 decimals are identical.

The spelling of 400496640 in words is "four hundred million, four hundred ninety-six thousand, six hundred forty".