51477972 has 192 divisors, whose sum is σ = 162570240. Its totient is φ = 12294144.

The previous prime is 51477953. The next prime is 51477977. The reversal of 51477972 is 27977415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51477977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872479 + ... + 872537.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^51477972 is an apocalyptic number.

51477972 is a gapful number since it is divisible by the number (52) 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 51477972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

51477972 is an abundant number, since it is smaller than the sum of its proper divisors (111092268).

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

51477972 is a wasteful number, since it uses less digits than its factorization.

51477972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The square root of 51477972 is about 7174.8151195693. The cubic root of 51477972 is about 371.9978899175.

The spelling of 51477972 in words is "fifty-one million, four hundred seventy-seven thousand, nine hundred seventy-two".