498787632 has 280 divisors, whose sum is σ = 1707703200. Its totient is φ = 138101760.

The previous prime is 498787631. The next prime is 498787643. The reversal of 498787632 is 236787894.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (498787631) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3347494 + ... + 3347642.

It is an arithmetic number, because the mean of its divisors is an integer number (6098940).

Almost surely, 2^498787632 is an apocalyptic number.

498787632 is a gapful number since it is divisible by the number (42) 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 498787632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853851600).

498787632 is an abundant number, since it is smaller than the sum of its proper divisors (1208915568).

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

498787632 is a wasteful number, since it uses less digits than its factorization.

498787632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 498787632 is about 22333.5539491591. The cubic root of 498787632 is about 793.0585020451.

The spelling of 498787632 in words is "four hundred ninety-eight million, seven hundred eighty-seven thousand, six hundred thirty-two".