495598400 has 168 divisors, whose sum is σ = 1377635040. Its totient is φ = 173824000.

The previous prime is 495598393. The next prime is 495598417. The reversal of 495598400 is 4895594.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 23 ways as a sum of consecutive naturals, for example, 509915 + ... + 510885.

Almost surely, 2^495598400 is an apocalyptic number.

495598400 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 495598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688817520).

495598400 is an abundant number, since it is smaller than the sum of its proper divisors (882036640).

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

495598400 is a wasteful number, since it uses less digits than its factorization.

495598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 495598400 is about 22262.0394393685. The cubic root of 495598400 is about 791.3646232191.

It can be divided in two parts, 495 and 598400, that added together give a palindrome (598895).

The spelling of 495598400 in words is "four hundred ninety-five million, five hundred ninety-eight thousand, four hundred".