1013418432 has 224 divisors, whose sum is σ = 3238804800. Its totient is φ = 308883456.

The previous prime is 1013418403. The next prime is 1013418449. The reversal of 1013418432 is 2348143101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1013418396 and 1013418405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4425294 + ... + 4425522.

It is an arithmetic number, because the mean of its divisors is an integer number (14458950).

Almost surely, 2^1013418432 is an apocalyptic number.

1013418432 is a gapful number since it is divisible by the number (12) 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 1013418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619402400).

1013418432 is an abundant number, since it is smaller than the sum of its proper divisors (2225386368).

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

1013418432 is a wasteful number, since it uses less digits than its factorization.

1013418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1013418432 is about 31834.2336486996. The cubic root of 1013418432 is about 1004.4529524489.

The spelling of 1013418432 in words is "one billion, thirteen million, four hundred eighteen thousand, four hundred thirty-two".