58052400 has 120 divisors (see below), whose sum is σ = 212557824. Its totient is φ = 13267200.

The previous prime is 58052381. The next prime is 58052411. The reversal of 58052400 is 425085.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×58052400² = 6740162291520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4945 + ... + 11855.

Almost surely, 2^58052400 is an apocalyptic number.

58052400 is a gapful number since it is divisible by the number (50) 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 58052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278912).

58052400 is an abundant number, since it is smaller than the sum of its proper divisors (154505424).

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

58052400 is a wasteful number, since it uses less digits than its factorization.

58052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 58052400 is about 7619.2125577385. The cubic root of 58052400 is about 387.2042002026.

Adding to 58052400 its reverse (425085), we get a palindrome (58477485).

The spelling of 58052400 in words is "fifty-eight million, fifty-two thousand, four hundred".