406650400 has 144 divisors (see below), whose sum is σ = 1088320968. Its totient is φ = 147456000.

The previous prime is 406650379. The next prime is 406650401. The reversal of 406650400 is 4056604.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 63504 + 406586896 = 252^2 + 20164^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (406650401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634080 + ... + 634720.

Almost surely, 2^406650400 is an apocalyptic number.

406650400 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 406650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544160484).

406650400 is an abundant number, since it is smaller than the sum of its proper divisors (681670568).

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

406650400 is a wasteful number, since it uses less digits than its factorization.

406650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 406650400 is about 20165.5746260800. The cubic root of 406650400 is about 740.8672568840.

The spelling of 406650400 in words is "four hundred six million, six hundred fifty thousand, four hundred".