42355400 has 24 divisors (see below), whose sum is σ = 98476770. Its totient is φ = 16942080.

The previous prime is 42355309. The next prime is 42355409. The reversal of 42355400 is 455324.

It can be written as a sum of positive squares in 3 ways, for example, as 35688676 + 6666724 = 5974^2 + 2582^2 .

It is a super-3 number, since 3×42355400³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42355409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105689 + ... + 106088.

Almost surely, 2^42355400 is an apocalyptic number.

42355400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42355400 is an abundant number, since it is smaller than the sum of its proper divisors (56121370).

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

42355400 is a wasteful number, since it uses less digits than its factorization.

42355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211793 (or 211784 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 42355400 is about 6508.1026420916. The cubic root of 42355400 is about 348.5803721103.

The spelling of 42355400 in words is "forty-two million, three hundred fifty-five thousand, four hundred".