424379088 has 240 divisors, whose sum is σ = 1455906816. Its totient is φ = 117106560.

The previous prime is 424379077. The next prime is 424379101. The reversal of 424379088 is 880973424.

It is a super-4 number, since 4×424379088⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843445 + ... + 843947.

Almost surely, 2^424379088 is an apocalyptic number.

424379088 is a gapful number since it is divisible by the number (48) 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 424379088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408).

424379088 is an abundant number, since it is smaller than the sum of its proper divisors (1031527728).

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

424379088 is a wasteful number, since it uses less digits than its factorization.

424379088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 424379088 is about 20600.4632957611. The cubic root of 424379088 is about 751.4809776819.

The spelling of 424379088 in words is "four hundred twenty-four million, three hundred seventy-nine thousand, eighty-eight".