42750400 has 168 divisors, whose sum is σ = 131527296. Its totient is φ = 13286400.

The previous prime is 42750377. The next prime is 42750419. The reversal of 42750400 is 405724.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123027 + ... + 123373.

Almost surely, 2^42750400 is an apocalyptic number.

42750400 is a gapful number since it is divisible by the number (40) 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 42750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65763648).

42750400 is an abundant number, since it is smaller than the sum of its proper divisors (88776896).

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

42750400 is a wasteful number, since it uses less digits than its factorization.

42750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42750400 is about 6538.3790040040. The cubic root of 42750400 is about 349.6606234117.

The spelling of 42750400 in words is "forty-two million, seven hundred fifty thousand, four hundred".