1013790400 has 252 divisors, whose sum is σ = 2960403528. Its totient is φ = 340623360.

The previous prime is 1013790341. The next prime is 1013790433. The reversal of 1013790400 is 40973101.

1013790400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5252704 + ... + 5252896.

Almost surely, 2^1013790400 is an apocalyptic number.

1013790400 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 1013790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480201764).

1013790400 is an abundant number, since it is smaller than the sum of its proper divisors (1946613128).

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

1013790400 is a wasteful number, since it uses less digits than its factorization.

1013790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1013790400 is about 31840.0753767952. The cubic root of 1013790400 is about 1004.5758298447.

The spelling of 1013790400 in words is "one billion, thirteen million, seven hundred ninety thousand, four hundred".