435948480 has 420 divisors, whose sum is σ = 1716801240. Its totient is φ = 104924160.

The previous prime is 435948473. The next prime is 435948497. The reversal of 435948480 is 84849534.

It is a happy number.

435948480 is a `hidden beast` number, since 43 + 59 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136251 + ... + 3136389.

It is an arithmetic number, because the mean of its divisors is an integer number (4087622).

Almost surely, 2^435948480 is an apocalyptic number.

435948480 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 435948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858400620).

435948480 is an abundant number, since it is smaller than the sum of its proper divisors (1280852760).

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

435948480 is a wasteful number, since it uses less digits than its factorization.

435948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 435948480 is about 20879.3793011191. The cubic root of 435948480 is about 758.2487841440.

The spelling of 435948480 in words is "four hundred thirty-five million, nine hundred forty-eight thousand, four hundred eighty".