420477696 has 144 divisors (see below), whose sum is σ = 1255833600. Its totient is φ = 138765312.

The previous prime is 420477689. The next prime is 420477703. The reversal of 420477696 is 696774024.

It is an interprime number because it is at equal distance from previous prime (420477689) and next prime (420477703).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877585 + ... + 878063.

Almost surely, 2^420477696 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 420477696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627916800).

420477696 is an abundant number, since it is smaller than the sum of its proper divisors (835355904).

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

420477696 is a wasteful number, since it uses less digits than its factorization.

420477696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 420477696 is about 20505.5528089345. The cubic root of 420477696 is about 749.1710521315.

The spelling of 420477696 in words is "four hundred twenty million, four hundred seventy-seven thousand, six hundred ninety-six".