1513484400 has 120 divisors (see below), whose sum is σ = 4886861824. Its totient is φ = 400377600.

The previous prime is 1513484389. The next prime is 1513484407. The reversal of 1513484400 is 44843151.

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 not an unprimeable number, because it can be changed into a prime (1513484407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147435 + ... + 157365.

Almost surely, 2^1513484400 is an apocalyptic number.

1513484400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443430912).

1513484400 is an abundant number, since it is smaller than the sum of its proper divisors (3373377424).

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

1513484400 is a wasteful number, since it uses less digits than its factorization.

1513484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1513484400 is about 38903.5268324094. The cubic root of 1513484400 is about 1148.1341893345.

The spelling of 1513484400 in words is "one billion, five hundred thirteen million, four hundred eighty-four thousand, four hundred".