42153480 has 128 divisors (see below), whose sum is σ = 146707200. Its totient is φ = 10745856.

The previous prime is 42153479. The next prime is 42153487. The reversal of 42153480 is 8435124.

It is a super-2 number, since 2×42153480² = 3553831752220800, which contains 22 as substring.

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 (42153487) 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, 23992 + ... + 25688.

It is an arithmetic number, because the mean of its divisors is an integer number (1146150).

Almost surely, 2^42153480 is an apocalyptic number.

42153480 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 42153480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73353600).

42153480 is an abundant number, since it is smaller than the sum of its proper divisors (104553720).

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

42153480 is a wasteful number, since it uses less digits than its factorization.

42153480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42153480 is about 6492.5711393869. The cubic root of 42153480 is about 348.0255629260.

The spelling of 42153480 in words is "forty-two million, one hundred fifty-three thousand, four hundred eighty".