424545408 has 384 divisors, whose sum is σ = 1534896000. Its totient is φ = 114960384.

The previous prime is 424545389. The next prime is 424545419. The reversal of 424545408 is 804545424.

424545408 is a `hidden beast` number, since 4 + 245 + 4 + 5 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 3894858 + ... + 3894966.

It is an arithmetic number, because the mean of its divisors is an integer number (3997125).

Almost surely, 2^424545408 is an apocalyptic number.

424545408 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 424545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767448000).

424545408 is an abundant number, since it is smaller than the sum of its proper divisors (1110350592).

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

424545408 is a wasteful number, since it uses less digits than its factorization.

424545408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 424545408 is about 20604.4997027348. The cubic root of 424545408 is about 751.5791367692.

The spelling of 424545408 in words is "four hundred twenty-four million, five hundred forty-five thousand, four hundred eight".