433620480 has 160 divisors (see below), whose sum is σ = 1400053248. Its totient is φ = 114483200.

The previous prime is 433620463. The next prime is 433620487. The reversal of 433620480 is 84026334.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433620487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005865 + ... + 1006295.

Almost surely, 2^433620480 is an apocalyptic number.

433620480 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 433620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700026624).

433620480 is an abundant number, since it is smaller than the sum of its proper divisors (966432768).

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

433620480 is a wasteful number, since it uses less digits than its factorization.

433620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 433620480 is about 20823.5558923062. Note that the first 3 decimals coincide. The cubic root of 433620480 is about 756.8966712876.

The spelling of 433620480 in words is "four hundred thirty-three million, six hundred twenty thousand, four hundred eighty".