51467400 has 168 divisors, whose sum is σ = 179918730. Its totient is φ = 13685760.

The previous prime is 51467393. The next prime is 51467401. The reversal of 51467400 is 476415.

It can be written as a sum of positive squares in 3 ways, for example, as 35928036 + 15539364 = 5994^2 + 3942^2 .

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 (51467401) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145624 + ... + 145976.

Almost surely, 2^51467400 is an apocalyptic number.

51467400 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 51467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89959365).

51467400 is an abundant number, since it is smaller than the sum of its proper divisors (128451330).

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

51467400 is a wasteful number, since it uses less digits than its factorization.

51467400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 51467400 is about 7174.0783380167. The cubic root of 51467400 is about 371.9724225134.

The spelling of 51467400 in words is "fifty-one million, four hundred sixty-seven thousand, four hundred".