420649740 has 192 divisors, whose sum is σ = 1574630400. Its totient is φ = 91072512.

The previous prime is 420649739. The next prime is 420649769. The reversal of 420649740 is 47946024.

420649740 is a `hidden beast` number, since 4 + 2 + 0 + 649 + 7 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 420649695 and 420649704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68892 + ... + 74748.

It is an arithmetic number, because the mean of its divisors is an integer number (8201200).

Almost surely, 2^420649740 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 420649740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787315200).

420649740 is an abundant number, since it is smaller than the sum of its proper divisors (1153980660).

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

420649740 is a wasteful number, since it uses less digits than its factorization.

420649740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 420649740 is about 20509.7474387180. The cubic root of 420649740 is about 749.2732159407.

The spelling of 420649740 in words is "four hundred twenty million, six hundred forty-nine thousand, seven hundred forty".