458705940 has 192 divisors, whose sum is σ = 1639249920. Its totient is φ = 93058560.

The previous prime is 458705921. The next prime is 458705941. The reversal of 458705940 is 49507854.

It is a super-2 number, since 2×458705940² = 420822278782567200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 458705892 and 458705901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458705941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197506 + ... + 199814.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2^458705940 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 458705940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819624960).

458705940 is an abundant number, since it is smaller than the sum of its proper divisors (1180543980).

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

458705940 is a wasteful number, since it uses less digits than its factorization.

458705940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 458705940 is about 21417.4214134195. The cubic root of 458705940 is about 771.2197119272.

The spelling of 458705940 in words is "four hundred fifty-eight million, seven hundred five thousand, nine hundred forty".