490695480 has 384 divisors, whose sum is σ = 1901465280. Its totient is φ = 108380160.

The previous prime is 490695461. The next prime is 490695511. The reversal of 490695480 is 84596094.

490695480 = 154² + 155² + ... + 1138².

It is a happy number.

490695480 is a `hidden beast` number, since 49 + 0 + 69 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2490742 + ... + 2490938.

Almost surely, 2^490695480 is an apocalyptic number.

490695480 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 490695480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950732640).

490695480 is an abundant number, since it is smaller than the sum of its proper divisors (1410769800).

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

490695480 is a wasteful number, since it uses less digits than its factorization.

490695480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 490695480 is about 22151.6473428050. The cubic root of 490695480 is about 788.7463318269.

The spelling of 490695480 in words is "four hundred ninety million, six hundred ninety-five thousand, four hundred eighty".