498801408 has 288 divisors, whose sum is σ = 1626304512. Its totient is φ = 132710400.

The previous prime is 498801397. The next prime is 498801409. The reversal of 498801408 is 804108894.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 498801408.

It is not an unprimeable number, because it can be changed into a prime (498801409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6832860 + ... + 6832932.

Almost surely, 2^498801408 is an apocalyptic number.

498801408 is a gapful number since it is divisible by the number (48) 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 498801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813152256).

498801408 is an abundant number, since it is smaller than the sum of its proper divisors (1127503104).

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

498801408 is a wasteful number, since it uses less digits than its factorization.

498801408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 498801408 is about 22333.8623618934. The cubic root of 498801408 is about 793.0658031305.

The spelling of 498801408 in words is "four hundred ninety-eight million, eight hundred one thousand, four hundred eight".