1415230400 has 84 divisors (see below), whose sum is σ = 3501158352. Its totient is φ = 563036160.

The previous prime is 1415230391. The next prime is 1415230417. The reversal of 1415230400 is 40325141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306509 + ... + 311091.

Almost surely, 2^1415230400 is an apocalyptic number.

1415230400 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 1415230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750579176).

1415230400 is an abundant number, since it is smaller than the sum of its proper divisors (2085927952).

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

1415230400 is a wasteful number, since it uses less digits than its factorization.

1415230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1415230400 is about 37619.5481099920. The cubic root of 1415230400 is about 1122.7310053783.

Adding to 1415230400 its reverse (40325141), we get a palindrome (1455555541).

The spelling of 1415230400 in words is "one billion, four hundred fifteen million, two hundred thirty thousand, four hundred".