458342540100 has 81 divisors (see below), whose sum is σ = 1436712892797. Its totient is φ = 122219261280.

The previous prime is 458342540081. The next prime is 458342540101. The reversal of 458342540100 is 1045243854.

It is a happy number.

The square root of 458342540100 is 677010.

It is a perfect power (a square), and thus also a powerful number.

458342540100 is a `hidden beast` number, since 4 + 5 + 8 + 3 + 4 + 2 + 540 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165003314436 + 293339225664 = 406206^2 + 541608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (458342540101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20299017 + ... + 20321583.

Almost surely, 2^458342540100 is an apocalyptic number.

458342540100 is the 677010-th square number.

It is an amenable number.

458342540100 is an abundant number, since it is smaller than the sum of its proper divisors (978370352697).

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

458342540100 is an equidigital number, since it uses as much as digits as its factorization.

458342540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45154 (or 22577 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 458342540100 by its sum of digits (36), we get a square (16500331443600 = 4062060²).

458342540100 divided by its sum of digits (36) gives a square (12731737225 = 112835²).

Adding to 458342540100 its reverse (1045243854), we get a palindrome (459387783954).

The spelling of 458342540100 in words is "four hundred fifty-eight billion, three hundred forty-two million, five hundred forty thousand, one hundred".