42746880 has 264 divisors, whose sum is σ = 156816576. Its totient is φ = 9912320.

The previous prime is 42746863. The next prime is 42746897. The reversal of 42746880 is 8864724.

It is an interprime number because it is at equal distance from previous prime (42746863) and next prime (42746897).

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-3 number, since 3×42746880³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858549 + ... + 1858571.

Almost surely, 2^42746880 is an apocalyptic number.

42746880 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 42746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78408288).

42746880 is an abundant number, since it is smaller than the sum of its proper divisors (114069696).

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

42746880 is a wasteful number, since it uses less digits than its factorization.

42746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 42746880 is about 6538.1098185944. The cubic root of 42746880 is about 349.6510263149.

The spelling of 42746880 in words is "forty-two million, seven hundred forty-six thousand, eight hundred eighty".