401872608 has 72 divisors (see below), whose sum is σ = 1150518096. Its totient is φ = 133056000.

The previous prime is 401872579. The next prime is 401872619. The reversal of 401872608 is 806278104.

401872608 is a `hidden beast` number, since 40 + 1 + 8 + 7 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38868 + ... + 48108.

It is an arithmetic number, because the mean of its divisors is an integer number (15979418).

Almost surely, 2^401872608 is an apocalyptic number.

401872608 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 401872608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575259048).

401872608 is an abundant number, since it is smaller than the sum of its proper divisors (748645488).

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

401872608 is a wasteful number, since it uses less digits than its factorization.

401872608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 401872608 is about 20046.7605363061. The cubic root of 401872608 is about 737.9543012662.

The spelling of 401872608 in words is "four hundred one million, eight hundred seventy-two thousand, six hundred eight".