42774480 has 400 divisors, whose sum is σ = 181488384. Its totient is φ = 9123840.

The previous prime is 42774467. The next prime is 42774517. The reversal of 42774480 is 8447724.

42774480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42774480² = 3659312278540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043260 + ... + 1043300.

Almost surely, 2^42774480 is an apocalyptic number.

42774480 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 42774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

42774480 is an abundant number, since it is smaller than the sum of its proper divisors (138713904).

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

42774480 is a wasteful number, since it uses less digits than its factorization.

42774480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 42774480 is about 6540.2201797799. The cubic root of 42774480 is about 349.7262621537.

The spelling of 42774480 in words is "forty-two million, seven hundred seventy-four thousand, four hundred eighty".