303623040400 has 45 divisors (see below), whose sum is σ = 729480832033. Its totient is φ = 121444808000.

The previous prime is 303623040359. The next prime is 303623040407. The reversal of 303623040400 is 4040326303.

The square root of 303623040400 is 551020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 109304294544 + 194318745856 = 330612^2 + 440816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (303623040407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11006625 + ... + 11034175.

Almost surely, 2^303623040400 is an apocalyptic number.

303623040400 is the 551020-th square number.

It is an amenable number.

303623040400 is an abundant number, since it is smaller than the sum of its proper divisors (425857791633).

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

303623040400 is an frugal number, since it uses more digits than its factorization.

303623040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55120 (or 27558 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Multiplying 303623040400 by its sum of digits (25), we get a square (7590576010000 = 2755100²).

303623040400 divided by its sum of digits (25) gives a square (12144921616 = 110204²).

Adding to 303623040400 its reverse (4040326303), we get a palindrome (307663366703).

The spelling of 303623040400 in words is "three hundred three billion, six hundred twenty-three million, forty thousand, four hundred".