420705152 has 64 divisors (see below), whose sum is σ = 960668640. Its totient is φ = 179773440.

The previous prime is 420705151. The next prime is 420705169. The reversal of 420705152 is 251507024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420705151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552452 + ... + 553212.

Almost surely, 2^420705152 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 420705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480334320).

420705152 is an abundant number, since it is smaller than the sum of its proper divisors (539963488).

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

420705152 is an equidigital number, since it uses as much as digits as its factorization.

420705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 420705152 is about 20511.0982641106. The cubic root of 420705152 is about 749.3061149701.

The spelling of 420705152 in words is "four hundred twenty million, seven hundred five thousand, one hundred fifty-two".