1493606400 has 672 divisors, whose sum is σ = 6143231808. Its totient is φ = 314572800.

The previous prime is 1493606393. The next prime is 1493606449. The reversal of 1493606400 is 46063941.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87859192 + ... + 87859208.

It is an arithmetic number, because the mean of its divisors is an integer number (9141714).

Almost surely, 2^1493606400 is an apocalyptic number.

1493606400 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 1493606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071615904).

1493606400 is an abundant number, since it is smaller than the sum of its proper divisors (4649625408).

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

1493606400 is a wasteful number, since it uses less digits than its factorization.

1493606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1493606400 is about 38647.2042973357. The cubic root of 1493606400 is about 1143.0855162666.

The spelling of 1493606400 in words is "one billion, four hundred ninety-three million, six hundred six thousand, four hundred".