53002464 has 96 divisors (see below), whose sum is σ = 150667776. Its totient is φ = 16250880.

The previous prime is 53002441. The next prime is 53002471. The reversal of 53002464 is 46420035.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53002464² = 5618522380142592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76359 + ... + 77049.

It is an arithmetic number, because the mean of its divisors is an integer number (1569456).

Almost surely, 2^53002464 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 53002464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75333888).

53002464 is an abundant number, since it is smaller than the sum of its proper divisors (97665312).

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

53002464 is a wasteful number, since it uses less digits than its factorization.

53002464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 53002464 is about 7280.2791155285. The cubic root of 53002464 is about 375.6343963936.

Adding to 53002464 its reverse (46420035), we get a palindrome (99422499).

The spelling of 53002464 in words is "fifty-three million, two thousand, four hundred sixty-four".