496022400 has 192 divisors, whose sum is σ = 1815620400. Its totient is φ = 132249600.

The previous prime is 496022399. The next prime is 496022419. The reversal of 496022400 is 4220694.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 83530 + ... + 89270.

Almost surely, 2^496022400 is an apocalyptic number.

496022400 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 496022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907810200).

496022400 is an abundant number, since it is smaller than the sum of its proper divisors (1319598000).

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

496022400 is a wasteful number, since it uses less digits than its factorization.

496022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 496022400 is about 22271.5603404880. The cubic root of 496022400 is about 791.5902379895.

The spelling of 496022400 in words is "four hundred ninety-six million, twenty-two thousand, four hundred".