424406880 has 144 divisors (see below), whose sum is σ = 1498376880. Its totient is φ = 109261824.

The previous prime is 424406863. The next prime is 424406911. The reversal of 424406880 is 88604424.

It is a tau number, because it is divible by the number of its divisors (144).

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, 36679 + ... + 46841.

It is an arithmetic number, because the mean of its divisors is an integer number (10405395).

Almost surely, 2^424406880 is an apocalyptic number.

424406880 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 424406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749188440).

424406880 is an abundant number, since it is smaller than the sum of its proper divisors (1073970000).

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

424406880 is a wasteful number, since it uses less digits than its factorization.

424406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 424406880 is about 20601.1378326538. The cubic root of 424406880 is about 751.4973818074.

The spelling of 424406880 in words is "four hundred twenty-four million, four hundred six thousand, eight hundred eighty".