420464977920 has 1536 divisors, whose sum is σ = 1743565824000. Its totient is φ = 95232983040.

The previous prime is 420464977909. The next prime is 420464977921. The reversal of 420464977920 is 29779464024.

420464977920 is a `hidden beast` number, since 4 + 2 + 0 + 464 + 97 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (420464977921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3209656255 + ... + 3209656385.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134000).

Almost surely, 2^420464977920 is an apocalyptic number.

420464977920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420464977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912000).

420464977920 is an abundant number, since it is smaller than the sum of its proper divisors (1323100846080).

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

420464977920 is a wasteful number, since it uses less digits than its factorization.

420464977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 420464977920 in words is "four hundred twenty billion, four hundred sixty-four million, nine hundred seventy-seven thousand, nine hundred twenty".