1012379400 has 144 divisors (see below), whose sum is σ = 3509775360. Its totient is φ = 261244800.

The previous prime is 1012379399. The next prime is 1012379411. The reversal of 1012379400 is 49732101.

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, 46729 + ... + 64871.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^1012379400 is an apocalyptic number.

1012379400 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 1012379400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

1012379400 is an abundant number, since it is smaller than the sum of its proper divisors (2497395960).

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

1012379400 is a wasteful number, since it uses less digits than its factorization.

1012379400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18196 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1012379400 is about 31817.9100507874. The cubic root of 1012379400 is about 1004.1095550890.

The spelling of 1012379400 in words is "one billion, twelve million, three hundred seventy-nine thousand, four hundred".