401974272 has 352 divisors, whose sum is σ = 1425367040. Its totient is φ = 109486080.

The previous prime is 401974247. The next prime is 401974273. The reversal of 401974272 is 272479104.

401974272 is a `hidden beast` number, since 40 + 197 + 427 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401974273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5999583 + ... + 5999649.

Almost surely, 2^401974272 is an apocalyptic number.

401974272 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 401974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712683520).

401974272 is an abundant number, since it is smaller than the sum of its proper divisors (1023392768).

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

401974272 is a wasteful number, since it uses less digits than its factorization.

401974272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 401974272 is about 20049.2960474925. The cubic root of 401974272 is about 738.0165241855.

The spelling of 401974272 in words is "four hundred one million, nine hundred seventy-four thousand, two hundred seventy-two".