401510400 has 156 divisors (see below), whose sum is σ = 1328514672. Its totient is φ = 106987520.

The previous prime is 401510371. The next prime is 401510407. The reversal of 401510400 is 4015104.

It is a super-2 number, since 2×401510400² = 322421202616320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401510400.

It is not an unprimeable number, because it can be changed into a prime (401510407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306547 + ... + 307853.

Almost surely, 2^401510400 is an apocalyptic number.

401510400 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 401510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664257336).

401510400 is an abundant number, since it is smaller than the sum of its proper divisors (927004272).

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

401510400 is a wasteful number, since it uses less digits than its factorization.

401510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 401510400 is about 20037.7244217002. The cubic root of 401510400 is about 737.7325284206.

Adding to 401510400 its reverse (4015104), we get a palindrome (405525504).

401510400 divided by its reverse (4015104) gives a square (100 = 10²).

The spelling of 401510400 in words is "four hundred one million, five hundred ten thousand, four hundred".