52467264 has 140 divisors (see below), whose sum is σ = 161353500. Its totient is φ = 16837632.

The previous prime is 52467263. The next prime is 52467269. The reversal of 52467264 is 46276425.

52467264 is a `hidden beast` number, since 524 + 6 + 72 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 19289664 = 5760^2 + 4392^2 .

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 (52467263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150162 + ... + 150510.

It is an arithmetic number, because the mean of its divisors is an integer number (1152525).

Almost surely, 2^52467264 is an apocalyptic number.

52467264 is a gapful number since it is divisible by the number (54) 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 52467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80676750).

52467264 is an abundant number, since it is smaller than the sum of its proper divisors (108886236).

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

52467264 is a wasteful number, since it uses less digits than its factorization.

52467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 52467264 is about 7243.4290222242. The cubic root of 52467264 is about 374.3657759644.

The spelling of 52467264 in words is "fifty-two million, four hundred sixty-seven thousand, two hundred sixty-four".