738414048 has 96 divisors (see below), whose sum is σ = 2010258432. Its totient is φ = 237081600.

The previous prime is 738414031. The next prime is 738414067. The reversal of 738414048 is 840414837.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 738413997 and 738414015.

It is a congruent number.

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, 835815 + ... + 836697.

It is an arithmetic number, because the mean of its divisors is an integer number (20940192).

Almost surely, 2^738414048 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 738414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005129216).

738414048 is an abundant number, since it is smaller than the sum of its proper divisors (1271844384).

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

738414048 is a wasteful number, since it uses less digits than its factorization.

738414048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 738414048 is about 27173.7750045885. The cubic root of 738414048 is about 903.8575362207.

The spelling of 738414048 in words is "seven hundred thirty-eight million, four hundred fourteen thousand, forty-eight".