51151464 has 192 divisors, whose sum is σ = 175943040. Its totient is φ = 13063680.

The previous prime is 51151459. The next prime is 51151469. The reversal of 51151464 is 46415115.

51151464 is a `hidden beast` number, since 51 + 151 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (51151459) and next prime (51151469).

It is not an unprimeable number, because it can be changed into a prime (51151469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242319 + ... + 242529.

It is an arithmetic number, because the mean of its divisors is an integer number (916370).

Almost surely, 2^51151464 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 51151464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87971520).

51151464 is an abundant number, since it is smaller than the sum of its proper divisors (124791576).

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

51151464 is a wasteful number, since it uses less digits than its factorization.

51151464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 51151464 is about 7152.0251677410. The cubic root of 51151464 is about 371.2097340950.

Adding to 51151464 its reverse (46415115), we get a palindrome (97566579).

It can be divided in two parts, 51151 and 464, that added together give a palindrome (51615).

The spelling of 51151464 in words is "fifty-one million, one hundred fifty-one thousand, four hundred sixty-four".