400760640 has 336 divisors, whose sum is σ = 1598907648. Its totient is φ = 90243072.

The previous prime is 400760639. The next prime is 400760651. The reversal of 400760640 is 46067004.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076384 + ... + 2076576.

Almost surely, 2^400760640 is an apocalyptic number.

400760640 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 400760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799453824).

400760640 is an abundant number, since it is smaller than the sum of its proper divisors (1198147008).

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

400760640 is a wasteful number, since it uses less digits than its factorization.

400760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400760640 is about 20019.0069683788. The cubic root of 400760640 is about 737.2730409545.

The spelling of 400760640 in words is "four hundred million, seven hundred sixty thousand, six hundred forty".