42670400 has 42 divisors (see below), whose sum is σ = 104999790. Its totient is φ = 17067520.

The previous prime is 42670387. The next prime is 42670403. The reversal of 42670400 is 407624.

It can be written as a sum of positive squares in 3 ways, for example, as 12902464 + 29767936 = 3592^2 + 5456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42670403) 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, 11735 + ... + 14934.

It is an arithmetic number, because the mean of its divisors is an integer number (2499995).

Almost surely, 2^42670400 is an apocalyptic number.

42670400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42670400 is an abundant number, since it is smaller than the sum of its proper divisors (62329390).

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

42670400 is a wasteful number, since it uses less digits than its factorization.

42670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26691 (or 26676 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 42670400 is about 6532.2584149741. The cubic root of 42670400 is about 349.4423773694.

The spelling of 42670400 in words is "forty-two million, six hundred seventy thousand, four hundred".