401468760 has 288 divisors, whose sum is σ = 1656579600. Its totient is φ = 83381760.

The previous prime is 401468747. The next prime is 401468791. The reversal of 401468760 is 67864104.

It is a super-2 number, since 2×401468760² = 322354330511875200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193006 + ... + 195074.

Almost surely, 2^401468760 is an apocalyptic number.

401468760 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 401468760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828289800).

401468760 is an abundant number, since it is smaller than the sum of its proper divisors (1255110840).

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

401468760 is a wasteful number, since it uses less digits than its factorization.

401468760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 401468760 is about 20036.6853546189. The cubic root of 401468760 is about 737.7070245195.

The spelling of 401468760 in words is "four hundred one million, four hundred sixty-eight thousand, seven hundred sixty".