401927400 has 480 divisors, whose sum is σ = 1667155200. Its totient is φ = 88905600.

The previous prime is 401927371. The next prime is 401927401. The reversal of 401927400 is 4729104.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (401927401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12965385 + ... + 12965415.

It is an arithmetic number, because the mean of its divisors is an integer number (3473240).

Almost surely, 2^401927400 is an apocalyptic number.

401927400 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 401927400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833577600).

401927400 is an abundant number, since it is smaller than the sum of its proper divisors (1265227800).

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

401927400 is a wasteful number, since it uses less digits than its factorization.

401927400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 401927400 is about 20048.1270945692. The cubic root of 401927400 is about 737.9878377267.

The spelling of 401927400 in words is "four hundred one million, nine hundred twenty-seven thousand, four hundred".