51434000 has 40 divisors (see below), whose sum is σ = 124372248. Its totient is φ = 20572800.

The previous prime is 51433999. The next prime is 51434057. The reversal of 51434000 is 43415.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 50069776 = 1168^2 + 7076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 51434000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10859 + ... + 14858.

Almost surely, 2^51434000 is an apocalyptic number.

51434000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51434000 is an abundant number, since it is smaller than the sum of its proper divisors (72938248).

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

51434000 is a wasteful number, since it uses less digits than its factorization.

51434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25740 (or 25724 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 51434000 is about 7171.7501350786. The cubic root of 51434000 is about 371.8919407107.

Adding to 51434000 its reverse (43415), we get a palindrome (51477415).

The spelling of 51434000 in words is "fifty-one million, four hundred thirty-four thousand".