420745248 has 144 divisors (see below), whose sum is σ = 1491811776. Its totient is φ = 109278720.

The previous prime is 420745201. The next prime is 420745249. The reversal of 420745248 is 842547024.

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

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

It is not an unprimeable number, because it can be changed into a prime (420745249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12690 + ... + 31662.

It is an arithmetic number, because the mean of its divisors is an integer number (10359804).

Almost surely, 2^420745248 is an apocalyptic number.

420745248 is a gapful number since it is divisible by the number (48) 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 420745248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745905888).

420745248 is an abundant number, since it is smaller than the sum of its proper divisors (1071066528).

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

420745248 is a wasteful number, since it uses less digits than its factorization.

420745248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19007 (or 18996 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 420745248 is about 20512.0756628870. The cubic root of 420745248 is about 749.3299188333.

It can be divided in two parts, 4207 and 45248, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 420745248 in words is "four hundred twenty million, seven hundred forty-five thousand, two hundred forty-eight".