459497376 has 288 divisors, whose sum is σ = 1505806848. Its totient is φ = 131880960.

The previous prime is 459497351. The next prime is 459497393. The reversal of 459497376 is 673794954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×459497376² = 422275677101770752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4294315 + ... + 4294421.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^459497376 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 459497376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752903424).

459497376 is an abundant number, since it is smaller than the sum of its proper divisors (1046309472).

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

459497376 is a wasteful number, since it uses less digits than its factorization.

459497376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 459497376 is about 21435.8899045503. The cubic root of 459497376 is about 771.6630027074.

The spelling of 459497376 in words is "four hundred fifty-nine million, four hundred ninety-seven thousand, three hundred seventy-six".