42277400 has 72 divisors (see below), whose sum is σ = 108105060. Its totient is φ = 15364800.

The previous prime is 42277387. The next prime is 42277423. The reversal of 42277400 is 477224.

It is a self number, because there is not a number n which added to its sum of digits gives 42277400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23327 + ... + 25073.

Almost surely, 2^42277400 is an apocalyptic number.

42277400 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 42277400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54052530).

42277400 is an abundant number, since it is smaller than the sum of its proper divisors (65827660).

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

42277400 is a wasteful number, since it uses less digits than its factorization.

42277400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 42277400 is about 6502.1073506979. The cubic root of 42277400 is about 348.3662634304.

The spelling of 42277400 in words is "forty-two million, two hundred seventy-seven thousand, four hundred".