400071672 has 432 divisors, whose sum is σ = 1513329480. Its totient is φ = 94348800.

The previous prime is 400071653. The next prime is 400071677. The reversal of 400071672 is 276170004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400071677) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6558522 + ... + 6558582.

Almost surely, 2^400071672 is an apocalyptic number.

400071672 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 400071672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756664740).

400071672 is an abundant number, since it is smaller than the sum of its proper divisors (1113257808).

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

400071672 is a wasteful number, since it uses less digits than its factorization.

400071672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 400071672 is about 20001.7917197435. The cubic root of 400071672 is about 736.8503040842.

The spelling of 400071672 in words is "four hundred million, seventy-one thousand, six hundred seventy-two".