401506400 has 72 divisors (see below), whose sum is σ = 1022840784. Its totient is φ = 153612800.

The previous prime is 401506381. The next prime is 401506403. The reversal of 401506400 is 4605104.

It is a happy number.

It is a super-2 number, since 2×401506400² = 322414778481920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401506403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7490 + ... + 29310.

It is an arithmetic number, because the mean of its divisors is an integer number (14206122).

Almost surely, 2^401506400 is an apocalyptic number.

401506400 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 401506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511420392).

401506400 is an abundant number, since it is smaller than the sum of its proper divisors (621334384).

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

401506400 is a wasteful number, since it uses less digits than its factorization.

401506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21864 (or 21851 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 401506400 is about 20037.6246097186. The cubic root of 401506400 is about 737.7300785547.

The spelling of 401506400 in words is "four hundred one million, five hundred six thousand, four hundred".