746926400 has 252 divisors, whose sum is σ = 2127113856. Its totient is φ = 255744000.

The previous prime is 746926393. The next prime is 746926409. The reversal of 746926400 is 4629647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746926409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20187182 + ... + 20187218.

It is an arithmetic number, because the mean of its divisors is an integer number (8440928).

Almost surely, 2^746926400 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 746926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063556928).

746926400 is an abundant number, since it is smaller than the sum of its proper divisors (1380187456).

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

746926400 is a wasteful number, since it uses less digits than its factorization.

746926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 746926400 is about 27329.9542626767. The cubic root of 746926400 is about 907.3174633562.

The spelling of 746926400 in words is "seven hundred forty-six million, nine hundred twenty-six thousand, four hundred".