55742400 has 378 divisors, whose sum is σ = 233385360. Its totient is φ = 12579840.

The previous prime is 55742383. The next prime is 55742417. The reversal of 55742400 is 424755.

It is an interprime number because it is at equal distance from previous prime (55742383) and next prime (55742417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705561 + ... + 705639.

Almost surely, 2^55742400 is an apocalyptic number.

55742400 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 55742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116692680).

55742400 is an abundant number, since it is smaller than the sum of its proper divisors (177642960).

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

55742400 is a wasteful number, since it uses less digits than its factorization.

55742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 55742400 is about 7466.0833105451. The cubic root of 55742400 is about 381.9987025165.

The spelling of 55742400 in words is "fifty-five million, seven hundred forty-two thousand, four hundred".