496190000 has 150 divisors (see below), whose sum is σ = 1265266860. Its totient is φ = 188384000.

The previous prime is 496189987. The next prime is 496190003. The reversal of 496190000 is 91694.

It is a super-2 number, since 2×496190000² = 492409032200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (496190003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8409971 + ... + 8410029.

Almost surely, 2^496190000 is an apocalyptic number.

496190000 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 496190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632633430).

496190000 is an abundant number, since it is smaller than the sum of its proper divisors (769076860).

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

496190000 is an equidigital number, since it uses as much as digits as its factorization.

496190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 496190000 is about 22275.3226688190. The cubic root of 496190000 is about 791.6793842217.

The spelling of 496190000 in words is "four hundred ninety-six million, one hundred ninety thousand".