51160464 has 160 divisors (see below), whose sum is σ = 161894400. Its totient is φ = 15396480.

The previous prime is 51160427. The next prime is 51160469. The reversal of 51160464 is 46406115.

51160464 is a `hidden beast` number, since 51 + 1 + 604 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51160469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188649 + ... + 188919.

It is an arithmetic number, because the mean of its divisors is an integer number (1011840).

Almost surely, 2^51160464 is an apocalyptic number.

51160464 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 51160464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80947200).

51160464 is an abundant number, since it is smaller than the sum of its proper divisors (110733936).

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

51160464 is a wasteful number, since it uses less digits than its factorization.

51160464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51160464 is about 7152.6543324839. The cubic root of 51160464 is about 371.2315040270.

Adding to 51160464 its reverse (46406115), we get a palindrome (97566579).

The spelling of 51160464 in words is "fifty-one million, one hundred sixty thousand, four hundred sixty-four".