42990480 has 160 divisors (see below), whose sum is σ = 159573120. Its totient is φ = 10575360.

The previous prime is 42990469. The next prime is 42990481. The reversal of 42990480 is 8409924.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (42990481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27315 + ... + 28845.

It is an arithmetic number, because the mean of its divisors is an integer number (997332).

Almost surely, 2^42990480 is an apocalyptic number.

42990480 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 42990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79786560).

42990480 is an abundant number, since it is smaller than the sum of its proper divisors (116582640).

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

42990480 is a wasteful number, since it uses less digits than its factorization.

42990480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42990480 is about 6556.7125909254. The cubic root of 42990480 is about 350.3139495959.

It can be divided in two parts, 429 and 90480, that added together give a palindrome (90909).

The spelling of 42990480 in words is "forty-two million, nine hundred ninety thousand, four hundred eighty".