400726872 has 512 divisors, whose sum is σ = 1532160000. Its totient is φ = 94058496.

The previous prime is 400726849. The next prime is 400726883. The reversal of 400726872 is 278627004.

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 127 ways as a sum of consecutive naturals, for example, 10830438 + ... + 10830474.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2^400726872 is an apocalyptic number.

400726872 is a gapful number since it is divisible by the number (42) 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 400726872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080000).

400726872 is an abundant number, since it is smaller than the sum of its proper divisors (1131433128).

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

400726872 is a wasteful number, since it uses less digits than its factorization.

400726872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 400726872 is about 20018.1635521343. The cubic root of 400726872 is about 737.2523328868.

The spelling of 400726872 in words is "four hundred million, seven hundred twenty-six thousand, eight hundred seventy-two".