420498624 has 224 divisors, whose sum is σ = 1405103616. Its totient is φ = 108011520.

The previous prime is 420498623. The next prime is 420498629. The reversal of 420498624 is 426894024.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420498623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716059 + ... + 716645.

It is an arithmetic number, because the mean of its divisors is an integer number (6272784).

Almost surely, 2^420498624 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 420498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702551808).

420498624 is an abundant number, since it is smaller than the sum of its proper divisors (984604992).

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

420498624 is a wasteful number, since it uses less digits than its factorization.

420498624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 420498624 is about 20506.0631033848. The cubic root of 420498624 is about 749.1834811630.

The spelling of 420498624 in words is "four hundred twenty million, four hundred ninety-eight thousand, six hundred twenty-four".