401614400 has 168 divisors, whose sum is σ = 1135745760. Its totient is φ = 138240000.

The previous prime is 401614387. The next prime is 401614471. The reversal of 401614400 is 4416104.

It is a happy number.

It is a super-2 number, since 2×401614400² = 322588252574720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333800 + ... + 335000.

Almost surely, 2^401614400 is an apocalyptic number.

401614400 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 401614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567872880).

401614400 is an abundant number, since it is smaller than the sum of its proper divisors (734131360).

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

401614400 is a wasteful number, since it uses less digits than its factorization.

401614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 401614400 is about 20040.3193587328. The cubic root of 401614400 is about 737.7962192237.

The spelling of 401614400 in words is "four hundred one million, six hundred fourteen thousand, four hundred".