406190400 has 504 divisors, whose sum is σ = 1701917856. Its totient is φ = 83865600.

The previous prime is 406190377. The next prime is 406190423. The reversal of 406190400 is 4091604.

It is an interprime number because it is at equal distance from previous prime (406190377) and next prime (406190423).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587122 + ... + 2587278.

Almost surely, 2^406190400 is an apocalyptic number.

406190400 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 406190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850958928).

406190400 is an abundant number, since it is smaller than the sum of its proper divisors (1295727456).

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

406190400 is a wasteful number, since it uses less digits than its factorization.

406190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 406190400 is about 20154.1658224795. The cubic root of 406190400 is about 740.5877969171.

The spelling of 406190400 in words is "four hundred six million, one hundred ninety thousand, four hundred".