746403840 has 576 divisors, whose sum is σ = 3219652800. Its totient is φ = 155713536.

The previous prime is 746403839. The next prime is 746403871. The reversal of 746403840 is 48304647.

746403840 is a `hidden beast` number, since 7 + 4 + 640 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 746403795 and 746403804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8386516 + ... + 8386604.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2^746403840 is an apocalyptic number.

746403840 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 746403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609826400).

746403840 is an abundant number, since it is smaller than the sum of its proper divisors (2473248960).

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

746403840 is a wasteful number, since it uses less digits than its factorization.

746403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 746403840 is about 27320.3923837122. The cubic root of 746403840 is about 907.1058233939.

The spelling of 746403840 in words is "seven hundred forty-six million, four hundred three thousand, eight hundred forty".