1013966400 has 168 divisors, whose sum is σ = 3382166464. Its totient is φ = 265881600.

The previous prime is 1013966363. The next prime is 1013966413. The reversal of 1013966400 is 46693101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291069 + ... + 294531.

Almost surely, 2^1013966400 is an apocalyptic number.

1013966400 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 1013966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691083232).

1013966400 is an abundant number, since it is smaller than the sum of its proper divisors (2368200064).

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

1013966400 is a wasteful number, since it uses less digits than its factorization.

1013966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1013966400 is about 31842.8390694046. The cubic root of 1013966400 is about 1004.6339599129.

The spelling of 1013966400 in words is "one billion, thirteen million, nine hundred sixty-six thousand, four hundred".