4515416400 has 120 divisors (see below), whose sum is σ = 15779373984. Its totient is φ = 1094643200.

The previous prime is 4515416357. The next prime is 4515416459. The reversal of 4515416400 is 46145154.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 157839 + ... + 184238.

Almost surely, 2^4515416400 is an apocalyptic number.

4515416400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4515416400 is an abundant number, since it is smaller than the sum of its proper divisors (11263957584).

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

4515416400 is a wasteful number, since it uses less digits than its factorization.

4515416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342109 (or 342098 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4515416400 is about 67196.8481403704. The cubic root of 4515416400 is about 1652.8468026588.

The spelling of 4515416400 in words is "four billion, five hundred fifteen million, four hundred sixteen thousand, four hundred".