458377920 has 896 divisors, whose sum is σ = 2212116480. Its totient is φ = 86261760.

The previous prime is 458377897. The next prime is 458377949. The reversal of 458377920 is 29773854.

It is a super-2 number, since 2×458377920² = 420220635087052800, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 8648614 + ... + 8648666.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^458377920 is an apocalyptic number.

458377920 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 458377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106058240).

458377920 is an abundant number, since it is smaller than the sum of its proper divisors (1753738560).

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

458377920 is a wasteful number, since it uses less digits than its factorization.

458377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 458377920 is about 21409.7622593059. The cubic root of 458377920 is about 771.0358353645.

The spelling of 458377920 in words is "four hundred fifty-eight million, three hundred seventy-seven thousand, nine hundred twenty".