495914400 has 216 divisors, whose sum is σ = 1814196384. Its totient is φ = 132192000.

The previous prime is 495914389. The next prime is 495914423. The reversal of 495914400 is 4419594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193125 + ... + 195675.

Almost surely, 2^495914400 is an apocalyptic number.

495914400 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 495914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907098192).

495914400 is an abundant number, since it is smaller than the sum of its proper divisors (1318281984).

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

495914400 is a wasteful number, since it uses less digits than its factorization.

495914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 495914400 is about 22269.1355916659. The cubic root of 495914400 is about 791.5327822837.

The spelling of 495914400 in words is "four hundred ninety-five million, nine hundred fourteen thousand, four hundred".