495812966400 has 576 divisors, whose sum is σ = 1852381440000. Its totient is φ = 129954447360.

The previous prime is 495812966393. The next prime is 495812966449. The reversal of 495812966400 is 4669218594.

495812966400 is a `hidden beast` number, since 4 + 9 + 58 + 129 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81558561 + ... + 81564639.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940000).

Almost surely, 2^495812966400 is an apocalyptic number.

495812966400 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 495812966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720000).

495812966400 is an abundant number, since it is smaller than the sum of its proper divisors (1356568473600).

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

495812966400 is a wasteful number, since it uses less digits than its factorization.

495812966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 495812966400 in words is "four hundred ninety-five billion, eight hundred twelve million, nine hundred sixty-six thousand, four hundred".