400911984 has 160 divisors (see below), whose sum is σ = 1264204800. Its totient is φ = 120637440.

The previous prime is 400911977. The next prime is 400911991. The reversal of 400911984 is 489119004.

It is an interprime number because it is at equal distance from previous prime (400911977) and next prime (400911991).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135552 + ... + 1135904.

It is an arithmetic number, because the mean of its divisors is an integer number (7901280).

Almost surely, 2^400911984 is an apocalyptic number.

400911984 is a gapful number since it is divisible by the number (44) 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 400911984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632102400).

400911984 is an abundant number, since it is smaller than the sum of its proper divisors (863292816).

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

400911984 is a wasteful number, since it uses less digits than its factorization.

400911984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 400911984 is about 20022.7866192496. The cubic root of 400911984 is about 737.3658376656.

The spelling of 400911984 in words is "four hundred million, nine hundred eleven thousand, nine hundred eighty-four".