495706400 has 288 divisors, whose sum is σ = 1511903232. Its totient is φ = 154828800.

The previous prime is 495706381. The next prime is 495706429. The reversal of 495706400 is 4607594.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3903137 + ... + 3903263.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2^495706400 is an apocalyptic number.

495706400 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 495706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755951616).

495706400 is an abundant number, since it is smaller than the sum of its proper divisors (1016196832).

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

495706400 is a wasteful number, since it uses less digits than its factorization.

495706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 495706400 is about 22264.4649610091. The cubic root of 495706400 is about 791.4221033426.

The spelling of 495706400 in words is "four hundred ninety-five million, seven hundred six thousand, four hundred".