51374000 has 80 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 19328000.

The previous prime is 51373999. The next prime is 51374003. The reversal of 51374000 is 47315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (51374003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33245 + ... + 34755.

Almost surely, 2^51374000 is an apocalyptic number.

51374000 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 51374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

51374000 is an abundant number, since it is smaller than the sum of its proper divisors (80242576).

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

51374000 is a wasteful number, since it uses less digits than its factorization.

51374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 51374000 is about 7167.5658350656. The cubic root of 51374000 is about 371.7472750639.

The spelling of 51374000 in words is "fifty-one million, three hundred seventy-four thousand".