35412480 has 240 divisors, whose sum is σ = 129266280. Its totient is φ = 8945664.

The previous prime is 35412439. The next prime is 35412491. The reversal of 35412480 is 8421453.

35412480 = T₆₇ + T₆₈ + ... + T₅₉₆.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 3873024 = 5616^2 + 1968^2 .

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

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, 668134 + ... + 668186.

Almost surely, 2^35412480 is an apocalyptic number.

35412480 is a gapful number since it is divisible by the number (30) 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 35412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64633140).

35412480 is an abundant number, since it is smaller than the sum of its proper divisors (93853800).

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

35412480 is a wasteful number, since it uses less digits than its factorization.

35412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 35412480 is about 5950.8385963661. The cubic root of 35412480 is about 328.3866153033.

The spelling of 35412480 in words is "thirty-five million, four hundred twelve thousand, four hundred eighty".