424651920 has 240 divisors, whose sum is σ = 1654477440. Its totient is φ = 88197120.

The previous prime is 424651907. The next prime is 424651933. The reversal of 424651920 is 29156424.

It is an interprime number because it is at equal distance from previous prime (424651907) and next prime (424651933).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 202236 + ... + 204324.

It is an arithmetic number, because the mean of its divisors is an integer number (6893656).

Almost surely, 2^424651920 is an apocalyptic number.

424651920 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 424651920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827238720).

424651920 is an abundant number, since it is smaller than the sum of its proper divisors (1229825520).

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

424651920 is a wasteful number, since it uses less digits than its factorization.

424651920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 424651920 is about 20607.0842187826. The cubic root of 424651920 is about 751.6419847801.

The spelling of 424651920 in words is "four hundred twenty-four million, six hundred fifty-one thousand, nine hundred twenty".