424101888 has 288 divisors, whose sum is σ = 1482062400. Its totient is φ = 114130944.

The previous prime is 424101877. The next prime is 424101901. The reversal of 424101888 is 888101424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×424101888² = 359724822810329088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451370 + ... + 2451542.

It is an arithmetic number, because the mean of its divisors is an integer number (5146050).

Almost surely, 2^424101888 is an apocalyptic number.

424101888 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 424101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741031200).

424101888 is an abundant number, since it is smaller than the sum of its proper divisors (1057960512).

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

424101888 is a wasteful number, since it uses less digits than its factorization.

424101888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 424101888 is about 20593.7341927102. The cubic root of 424101888 is about 751.3173221950.

The spelling of 424101888 in words is "four hundred twenty-four million, one hundred one thousand, eight hundred eighty-eight".