400647408 has 160 divisors (see below), whose sum is σ = 1226588160. Its totient is φ = 110315520.

The previous prime is 400647407. The next prime is 400647409. The reversal of 400647408 is 804746004.

It is an interprime number because it is at equal distance from previous prime (400647407) and next prime (400647409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400647407) 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, 1749438 + ... + 1749666.

It is an arithmetic number, because the mean of its divisors is an integer number (7666176).

Almost surely, 2^400647408 is an apocalyptic number.

400647408 is a gapful number since it is divisible by the number (48) 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 400647408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613294080).

400647408 is an abundant number, since it is smaller than the sum of its proper divisors (825940752).

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

400647408 is a wasteful number, since it uses less digits than its factorization.

400647408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 400647408 is about 20016.1786562770. The cubic root of 400647408 is about 737.2035973711.

The spelling of 400647408 in words is "four hundred million, six hundred forty-seven thousand, four hundred eight".