42612480 has 216 divisors, whose sum is σ = 154011312. Its totient is φ = 11280384.

The previous prime is 42612461. The next prime is 42612487. The reversal of 42612480 is 8421624.

42612480 is a `hidden beast` number, since 4 + 2 + 612 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42612487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310972 + ... + 311108.

Almost surely, 2^42612480 is an apocalyptic number.

42612480 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 42612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77005656).

42612480 is an abundant number, since it is smaller than the sum of its proper divisors (111398832).

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

42612480 is an equidigital number, since it uses as much as digits as its factorization.

42612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42612480 is about 6527.8235270264. The cubic root of 42612480 is about 349.2841969361.

The spelling of 42612480 in words is "forty-two million, six hundred twelve thousand, four hundred eighty".