458090640 has 200 divisors, whose sum is σ = 1818484800. Its totient is φ = 104696064.

The previous prime is 458090603. The next prime is 458090657. The reversal of 458090640 is 46090854.

458090640 is a `hidden beast` number, since 4 + 5 + 8 + 0 + 9 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 458090595 and 458090604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40311 + ... + 50409.

It is an arithmetic number, because the mean of its divisors is an integer number (9092424).

Almost surely, 2^458090640 is an apocalyptic number.

458090640 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 458090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909242400).

458090640 is an abundant number, since it is smaller than the sum of its proper divisors (1360394160).

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

458090640 is a wasteful number, since it uses less digits than its factorization.

458090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10131 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 458090640 is about 21403.0521187984. The cubic root of 458090640 is about 770.8747241535.

The spelling of 458090640 in words is "four hundred fifty-eight million, ninety thousand, six hundred forty".