51374400 has 336 divisors, whose sum is σ = 211653120. Its totient is φ = 10598400.

The previous prime is 51374381. The next prime is 51374419. The reversal of 51374400 is 447315.

It is an interprime number because it is at equal distance from previous prime (51374381) and next prime (51374419).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369531 + ... + 369669.

It is an arithmetic number, because the mean of its divisors is an integer number (629920).

Almost surely, 2^51374400 is an apocalyptic number.

51374400 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 51374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105826560).

51374400 is an abundant number, since it is smaller than the sum of its proper divisors (160278720).

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

51374400 is a wasteful number, since it uses less digits than its factorization.

51374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 51374400 is about 7167.5937384871. The cubic root of 51374400 is about 371.7482398744.

The spelling of 51374400 in words is "fifty-one million, three hundred seventy-four thousand, four hundred".