748602400 has 324 divisors, whose sum is σ = 2322378702. Its totient is φ = 234823680.

The previous prime is 748602397. The next prime is 748602403. The reversal of 748602400 is 4206847.

It is an interprime number because it is at equal distance from previous prime (748602397) and next prime (748602403).

It can be written as a sum of positive squares in 9 ways, for example, as 151093264 + 597509136 = 12292^2 + 24444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748602403) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6624744 + ... + 6624856.

Almost surely, 2^748602400 is an apocalyptic number.

748602400 is a gapful number since it is divisible by the number (70) 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 748602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161189351).

748602400 is an abundant number, since it is smaller than the sum of its proper divisors (1573776302).

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

748602400 is a wasteful number, since it uses less digits than its factorization.

748602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 748602400 is about 27360.5994086387. The cubic root of 748602400 is about 907.9955882234.

The spelling of 748602400 in words is "seven hundred forty-eight million, six hundred two thousand, four hundred".