62052480 has 448 divisors, whose sum is σ = 267566400. Its totient is φ = 13436928.

The previous prime is 62052479. The next prime is 62052503. The reversal of 62052480 is 8425026.

62052480 is a `hidden beast` number, since 62 + 0 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265911 + ... + 3265929.

Almost surely, 2^62052480 is an apocalyptic number.

62052480 is a gapful number since it is divisible by the number (60) 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 62052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133783200).

62052480 is an abundant number, since it is smaller than the sum of its proper divisors (205513920).

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

62052480 is an equidigital number, since it uses as much as digits as its factorization.

62052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 62052480 is about 7877.3396524461. The cubic root of 62052480 is about 395.9008015991.

The spelling of 62052480 in words is "sixty-two million, fifty-two thousand, four hundred eighty".