406098000 has 480 divisors, whose sum is σ = 1774386432. Its totient is φ = 84096000.

The previous prime is 406097987. The next prime is 406098013. The reversal of 406098000 is 890604.

It is an interprime number because it is at equal distance from previous prime (406097987) and next prime (406098013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385854 + ... + 1386146.

Almost surely, 2^406098000 is an apocalyptic number.

406098000 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 406098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887193216).

406098000 is an abundant number, since it is smaller than the sum of its proper divisors (1368288432).

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

406098000 is a wasteful number, since it uses less digits than its factorization.

406098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 406098000 is about 20151.8733620475. The cubic root of 406098000 is about 740.5316364712.

The spelling of 406098000 in words is "four hundred six million, ninety-eight thousand".