493880400 has 360 divisors, whose sum is σ = 1886842776. Its totient is φ = 118886400.

The previous prime is 493880393. The next prime is 493880441. The reversal of 493880400 is 4088394.

It can be written as a sum of positive squares in 12 ways, for example, as 250145856 + 243734544 = 15816^2 + 15612^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 2854714 + ... + 2854886.

Almost surely, 2^493880400 is an apocalyptic number.

493880400 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 493880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943421388).

493880400 is an abundant number, since it is smaller than the sum of its proper divisors (1392962376).

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

493880400 is a wasteful number, since it uses less digits than its factorization.

493880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 493880400 is about 22223.4200788268. The cubic root of 493880400 is about 790.4491383969.

The spelling of 493880400 in words is "four hundred ninety-three million, eight hundred eighty thousand, four hundred".