400527072 has 384 divisors, whose sum is σ = 1406522880. Its totient is φ = 109486080.

The previous prime is 400527067. The next prime is 400527119. The reversal of 400527072 is 270725004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5977983 + ... + 5978049.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^400527072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703261440).

400527072 is an abundant number, since it is smaller than the sum of its proper divisors (1005995808).

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

400527072 is a wasteful number, since it uses less digits than its factorization.

400527072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 400527072 is about 20013.1724621560. The cubic root of 400527072 is about 737.1297826623.

The spelling of 400527072 in words is "four hundred million, five hundred twenty-seven thousand, seventy-two".