42672400 has 30 divisors (see below), whose sum is σ = 102521402. Its totient is φ = 17068800.

The previous prime is 42672391. The next prime is 42672407. The reversal of 42672400 is 427624.

It can be written as a sum of positive squares in 3 ways, for example, as 266256 + 42406144 = 516^2 + 6512^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42672407) 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, 52941 + ... + 53740.

Almost surely, 2^42672400 is an apocalyptic number.

42672400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42672400 is an abundant number, since it is smaller than the sum of its proper divisors (59849002).

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

42672400 is a wasteful number, since it uses less digits than its factorization.

42672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106699 (or 106688 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 42672400 is about 6532.4114995919. The cubic root of 42672400 is about 349.4478368435.

The spelling of 42672400 in words is "forty-two million, six hundred seventy-two thousand, four hundred".