493275182400 has 4032 divisors, whose sum is σ = 2617937441280. Its totient is φ = 87588864000.

The previous prime is 493275182377. The next prime is 493275182437. The reversal of 493275182400 is 4281572394.

493275182400 is a `hidden beast` number, since 4 + 93 + 2 + 7 + 518 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8086478370 + ... + 8086478430.

It is an arithmetic number, because the mean of its divisors is an integer number (649290040).

Almost surely, 2^493275182400 is an apocalyptic number.

493275182400 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 493275182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308968720640).

493275182400 is an abundant number, since it is smaller than the sum of its proper divisors (2124662258880).

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

493275182400 is a wasteful number, since it uses less digits than its factorization.

493275182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 493275182400 in words is "four hundred ninety-three billion, two hundred seventy-five million, one hundred eighty-two thousand, four hundred".