495008400 has 120 divisors (see below), whose sum is σ = 1597781664. Its totient is φ = 130995200.

The previous prime is 495008399. The next prime is 495008411. The reversal of 495008400 is 4800594.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162895 + ... + 165905.

Almost surely, 2^495008400 is an apocalyptic number.

495008400 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 495008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798890832).

495008400 is an abundant number, since it is smaller than the sum of its proper divisors (1102773264).

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

495008400 is a wasteful number, since it uses less digits than its factorization.

495008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 495008400 is about 22248.7842364476. The cubic root of 495008400 is about 791.0504639248.

Adding to 495008400 its reverse (4800594), we get a palindrome (499808994).

The spelling of 495008400 in words is "four hundred ninety-five million, eight thousand, four hundred".