350564400 has 90 divisors (see below), whose sum is σ = 1216568340. Its totient is φ = 93482880.

The previous prime is 350564393. The next prime is 350564407. The reversal of 350564400 is 4465053.

It is an interprime number because it is at equal distance from previous prime (350564393) and next prime (350564407).

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (350564407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45090 + ... + 52289.

It is an arithmetic number, because the mean of its divisors is an integer number (13517426).

Almost surely, 2^350564400 is an apocalyptic number.

350564400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350564400 is an abundant number, since it is smaller than the sum of its proper divisors (866003940).

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

350564400 is a wasteful number, since it uses less digits than its factorization.

350564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97403 (or 97389 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 350564400 is about 18723.3650821640. The cubic root of 350564400 is about 705.1084788559.

The spelling of 350564400 in words is "three hundred fifty million, five hundred sixty-four thousand, four hundred".