493556400 has 180 divisors, whose sum is σ = 1749819552. Its totient is φ = 128770560.

The previous prime is 493556389. The next prime is 493556477. The reversal of 493556400 is 4655394.

It is a happy number.

493556400 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

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, 167742 + ... + 170658.

Almost surely, 2^493556400 is an apocalyptic number.

493556400 is a gapful number since it is divisible by the number (40) 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 493556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874909776).

493556400 is an abundant number, since it is smaller than the sum of its proper divisors (1256263152).

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

493556400 is a wasteful number, since it uses less digits than its factorization.

493556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 493556400 is about 22216.1292758212. The cubic root of 493556400 is about 790.2762479930.

It can be divided in two parts, 49355 and 6400, that added together give a palindrome (55755).

The spelling of 493556400 in words is "four hundred ninety-three million, five hundred fifty-six thousand, four hundred".