401888760 has 384 divisors, whose sum is σ = 1581120000. Its totient is φ = 79792128.

The previous prime is 401888759. The next prime is 401888761. The reversal of 401888760 is 67888104.

It is an interprime number because it is at equal distance from previous prime (401888759) and next prime (401888761).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401888761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2697166 + ... + 2697314.

It is an arithmetic number, because the mean of its divisors is an integer number (4117500).

Almost surely, 2^401888760 is an apocalyptic number.

401888760 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 401888760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790560000).

401888760 is an abundant number, since it is smaller than the sum of its proper divisors (1179231240).

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

401888760 is a wasteful number, since it uses less digits than its factorization.

401888760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 401888760 is about 20047.1633903652. The cubic root of 401888760 is about 737.9641877144.

The spelling of 401888760 in words is "four hundred one million, eight hundred eighty-eight thousand, seven hundred sixty".