415113303400 has 96 divisors (see below), whose sum is σ = 1017818114400. Its totient is φ = 157014547200.

The previous prime is 415113303373. The next prime is 415113303401. The reversal of 415113303400 is 4303311514.

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

It is not an unprimeable number, because it can be changed into a prime (415113303401) 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, 1954839 + ... + 2156761.

It is an arithmetic number, because the mean of its divisors is an integer number (10602272025).

Almost surely, 2^415113303400 is an apocalyptic number.

415113303400 is a gapful number since it is divisible by the number (40) 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 415113303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508909057200).

415113303400 is an abundant number, since it is smaller than the sum of its proper divisors (602704811000).

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

415113303400 is a wasteful number, since it uses less digits than its factorization.

415113303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202499 (or 202490 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 415113303400 its reverse (4303311514), we get a palindrome (419416614914).

The spelling of 415113303400 in words is "four hundred fifteen billion, one hundred thirteen million, three hundred three thousand, four hundred".