490034016 has 96 divisors (see below), whose sum is σ = 1504540800. Its totient is φ = 154742400.

The previous prime is 490033987. The next prime is 490034023. The reversal of 490034016 is 610430094.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491 + ... + 31341.

It is an arithmetic number, because the mean of its divisors is an integer number (15672300).

Almost surely, 2^490034016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752270400).

490034016 is an abundant number, since it is smaller than the sum of its proper divisors (1014506784).

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

490034016 is a wasteful number, since it uses less digits than its factorization.

490034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29889 (or 29875 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 490034016 is about 22136.7119509651. The cubic root of 490034016 is about 788.3917589588.

The spelling of 490034016 in words is "four hundred ninety million, thirty-four thousand, sixteen".