406723800 has 192 divisors, whose sum is σ = 1451692800. Its totient is φ = 92275200.

The previous prime is 406723777. The next prime is 406723817. The reversal of 406723800 is 8327604.

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

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, 751530 + ... + 752070.

It is an arithmetic number, because the mean of its divisors is an integer number (7560900).

Almost surely, 2^406723800 is an apocalyptic number.

406723800 is a gapful number since it is divisible by the number (40) 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 406723800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725846400).

406723800 is an abundant number, since it is smaller than the sum of its proper divisors (1044969000).

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

406723800 is a wasteful number, since it uses less digits than its factorization.

406723800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 406723800 is about 20167.3944772249. The cubic root of 406723800 is about 740.9118294745.

It can be divided in two parts, 406 and 723800, that added together give a triangular number (724206 = T₁₂₀₃).

The spelling of 406723800 in words is "four hundred six million, seven hundred twenty-three thousand, eight hundred".