748506000 has 240 divisors, whose sum is σ = 2655080064. Its totient is φ = 181280000.

The previous prime is 748505999. The next prime is 748506001. The reversal of 748506000 is 605847.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (748505999) and next prime (748506001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×748506000² = 1120522464072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748506001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725485 + ... + 726515.

Almost surely, 2^748506000 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 748506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327540032).

748506000 is an abundant number, since it is smaller than the sum of its proper divisors (1906574064).

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

748506000 is a wasteful number, since it uses less digits than its factorization.

748506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 748506000 is about 27358.8376946098. The cubic root of 748506000 is about 907.9566113548.

The spelling of 748506000 in words is "seven hundred forty-eight million, five hundred six thousand".