1393484400 has 540 divisors, whose sum is σ = 6087988816. Its totient is φ = 288921600.

The previous prime is 1393484399. The next prime is 1393484419. The reversal of 1393484400 is 44843931.

1393484400 is a `hidden beast` number, since 139 + 3 + 484 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3048972 + ... + 3049428.

Almost surely, 2^1393484400 is an apocalyptic number.

1393484400 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 1393484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043994408).

1393484400 is an abundant number, since it is smaller than the sum of its proper divisors (4694504416).

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

1393484400 is a wasteful number, since it uses less digits than its factorization.

1393484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1393484400 is about 37329.4039598813. The cubic root of 1393484400 is about 1116.9507833771.

The spelling of 1393484400 in words is "one billion, three hundred ninety-three million, four hundred eighty-four thousand, four hundred".