490931280 has 400 divisors, whose sum is σ = 1987729920. Its totient is φ = 109983744.

The previous prime is 490931267. The next prime is 490931293. The reversal of 490931280 is 82139094.

490931280 is a `hidden beast` number, since 490 + 93 + 1 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (490931267) and next prime (490931293).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3583372 + ... + 3583508.

Almost surely, 2^490931280 is an apocalyptic number.

490931280 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 490931280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993864960).

490931280 is an abundant number, since it is smaller than the sum of its proper divisors (1496798640).

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

490931280 is a wasteful number, since it uses less digits than its factorization.

490931280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 490931280 is about 22156.9691068070. The cubic root of 490931280 is about 788.8726536220.

The spelling of 490931280 in words is "four hundred ninety million, nine hundred thirty-one thousand, two hundred eighty".