401672736 has 384 divisors, whose sum is σ = 1371686400. Its totient is φ = 113541120.

The previous prime is 401672723. The next prime is 401672737. The reversal of 401672736 is 637276104.

It is a super-2 number, since 2×401672736² = 322681973691451392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 401672736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401672737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9796876 + ... + 9796916.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^401672736 is an apocalyptic number.

401672736 is a gapful number since it is divisible by the number (46) 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 401672736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

401672736 is an abundant number, since it is smaller than the sum of its proper divisors (970013664).

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

401672736 is a wasteful number, since it uses less digits than its factorization.

401672736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 401672736 is about 20041.7747717112. The cubic root of 401672736 is about 737.8319400515.

The spelling of 401672736 in words is "four hundred one million, six hundred seventy-two thousand, seven hundred thirty-six".