400900500 has 576 divisors, whose sum is σ = 1717148160. Its totient is φ = 76032000.

The previous prime is 400900471. The next prime is 400900523. The reversal of 400900500 is 5009004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4504456 + ... + 4504544.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^400900500 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 400900500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

400900500 is an abundant number, since it is smaller than the sum of its proper divisors (1316247660).

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

400900500 is a wasteful number, since it uses less digits than its factorization.

400900500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 400900500 is about 20022.4998439256. The cubic root of 400900500 is about 737.3587970595.

Adding to 400900500 its reverse (5009004), we get a palindrome (405909504).

The spelling of 400900500 in words is "four hundred million, nine hundred thousand, five hundred".