42464200 has 48 divisors (see below), whose sum is σ = 99251460. Its totient is φ = 16896000.

The previous prime is 42464179. The next prime is 42464231. The reversal of 42464200 is 246424.

It can be written as a sum of positive squares in 6 ways, for example, as 13498276 + 28965924 = 3674^2 + 5382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47760 + ... + 48640.

Almost surely, 2^42464200 is an apocalyptic number.

42464200 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 42464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49625730).

42464200 is an abundant number, since it is smaller than the sum of its proper divisors (56787260).

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

42464200 is a wasteful number, since it uses less digits than its factorization.

42464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 42464200 is about 6516.4560920795. The cubic root of 42464200 is about 348.8785876635.

The spelling of 42464200 in words is "forty-two million, four hundred sixty-four thousand, two hundred".