458490240 has 384 divisors, whose sum is σ = 1769536800. Its totient is φ = 112140288.

The previous prime is 458490169. The next prime is 458490251. The reversal of 458490240 is 42094854.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 458490195 and 458490204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2920242 + ... + 2920398.

Almost surely, 2^458490240 is an apocalyptic number.

458490240 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 458490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884768400).

458490240 is an abundant number, since it is smaller than the sum of its proper divisors (1311046560).

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

458490240 is a wasteful number, since it uses less digits than its factorization.

458490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 458490240 is about 21412.3852010933. The cubic root of 458490240 is about 771.0988079093.

The spelling of 458490240 in words is "four hundred fifty-eight million, four hundred ninety thousand, two hundred forty".