401274720 has 648 divisors, whose sum is σ = 1788145632. Its totient is φ = 81607680.

The previous prime is 401274719. The next prime is 401274751. The reversal of 401274720 is 27472104.

It is a happy number.

It is a super-2 number, since 2×401274720² = 322042801822156800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8537737 + ... + 8537783.

It is an arithmetic number, because the mean of its divisors is an integer number (2759484).

Almost surely, 2^401274720 is an apocalyptic number.

401274720 is a gapful number since it is divisible by the number (40) 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 401274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894072816).

401274720 is an abundant number, since it is smaller than the sum of its proper divisors (1386870912).

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

401274720 is a wasteful number, since it uses less digits than its factorization.

401274720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 401274720 is about 20031.8426511392. The cubic root of 401274720 is about 737.5881545490.

The spelling of 401274720 in words is "four hundred one million, two hundred seventy-four thousand, seven hundred twenty".