746237952 has 156 divisors (see below), whose sum is σ = 2228476224. Its totient is φ = 240353280.

The previous prime is 746237951. The next prime is 746237957. The reversal of 746237952 is 259732647.

It is a junction number, because it is equal to n+sod(n) for n = 746237898 and 746237907.

It is not an unprimeable number, because it can be changed into a prime (746237951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142458 + ... + 1143110.

It is an arithmetic number, because the mean of its divisors is an integer number (14285104).

Almost surely, 2^746237952 is an apocalyptic number.

746237952 is a gapful number since it is divisible by the number (72) 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 746237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114238112).

746237952 is an abundant number, since it is smaller than the sum of its proper divisors (1482238272).

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

746237952 is a wasteful number, since it uses less digits than its factorization.

746237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 689 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 746237952 is about 27317.3562410421. The cubic root of 746237952 is about 907.0386170944.

The spelling of 746237952 in words is "seven hundred forty-six million, two hundred thirty-seven thousand, nine hundred fifty-two".