436472064 has 360 divisors, whose sum is σ = 1551216128. Its totient is φ = 119439360.

The previous prime is 436472053. The next prime is 436472117. The reversal of 436472064 is 460274634.

436472064 is a `hidden beast` number, since 4 + 3 + 647 + 2 + 0 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4499664 + ... + 4499760.

Almost surely, 2^436472064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775608064).

436472064 is an abundant number, since it is smaller than the sum of its proper divisors (1114744064).

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

436472064 is an equidigital number, since it uses as much as digits as its factorization.

436472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 436472064 is about 20891.9138424415. The cubic root of 436472064 is about 758.5522206871.

The spelling of 436472064 in words is "four hundred thirty-six million, four hundred seventy-two thousand, sixty-four".