459486972 has 96 divisors (see below), whose sum is σ = 1366041600. Its totient is φ = 130838976.

The previous prime is 459486961. The next prime is 459486983. The reversal of 459486972 is 279684954.

It is an interprime number because it is at equal distance from previous prime (459486961) and next prime (459486983).

It is a super-2 number, since 2×459486972² = 422256554875457568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270558 + ... + 272250.

It is an arithmetic number, because the mean of its divisors is an integer number (14229600).

Almost surely, 2^459486972 is an apocalyptic number.

459486972 is a gapful number since it is divisible by the number (42) 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 459486972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683020800).

459486972 is an abundant number, since it is smaller than the sum of its proper divisors (906554628).

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

459486972 is a wasteful number, since it uses less digits than its factorization.

459486972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2064 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 459486972 is about 21435.6472260578. The cubic root of 459486972 is about 771.6571786317.

The spelling of 459486972 in words is "four hundred fifty-nine million, four hundred eighty-six thousand, nine hundred seventy-two".