737328420 has 240 divisors, whose sum is σ = 2512662768. Its totient is φ = 180264960.

The previous prime is 737328343. The next prime is 737328443. The reversal of 737328420 is 24823737.

737328420 is a `hidden beast` number, since 7 + 373 + 284 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 84934656 + 652393764 = 9216^2 + 25542^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1128814 + ... + 1129466.

Almost surely, 2^737328420 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 737328420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256331384).

737328420 is an abundant number, since it is smaller than the sum of its proper divisors (1775334348).

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

737328420 is a wasteful number, since it uses less digits than its factorization.

737328420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 737328420 is about 27153.7920003818. The cubic root of 737328420 is about 903.4143637532.

The spelling of 737328420 in words is "seven hundred thirty-seven million, three hundred twenty-eight thousand, four hundred twenty".