401504500 has 48 divisors (see below), whose sum is σ = 878845968. Its totient is φ = 160243200.

The previous prime is 401504497. The next prime is 401504549. The reversal of 401504500 is 5405104.

It can be written as a sum of positive squares in 8 ways, for example, as 138156516 + 263347984 = 11754^2 + 16228^2 .

It is a super-2 number, since 2×401504500² = 322411727040500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428032 + ... + 428968.

It is an arithmetic number, because the mean of its divisors is an integer number (18309291).

Almost surely, 2^401504500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439422984).

401504500 is an abundant number, since it is smaller than the sum of its proper divisors (477341468).

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

401504500 is a wasteful number, since it uses less digits than its factorization.

401504500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 401504500 is about 20037.5771988532. The cubic root of 401504500 is about 737.7289148627.

Adding to 401504500 its reverse (5405104), we get a palindrome (406909604).

The spelling of 401504500 in words is "four hundred one million, five hundred four thousand, five hundred".