242799480 has 384 divisors, whose sum is σ = 1037836800. Its totient is φ = 47692800.

The previous prime is 242799451. The next prime is 242799503. The reversal of 242799480 is 84997242.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526450 + ... + 526910.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^242799480 is an apocalyptic number.

242799480 is a gapful number since it is divisible by the number (20) 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 242799480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

242799480 is an abundant number, since it is smaller than the sum of its proper divisors (795037320).

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

242799480 is a wasteful number, since it uses less digits than its factorization.

242799480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 242799480 is about 15582.0242587412. The cubic root of 242799480 is about 623.8534542454.

The spelling of 242799480 in words is "two hundred forty-two million, seven hundred ninety-nine thousand, four hundred eighty".