400455000 has 240 divisors, whose sum is σ = 1480307400. Its totient is φ = 96960000.

The previous prime is 400454983. The next prime is 400455019. The reversal of 400455000 is 554004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 494596 + ... + 495404.

Almost surely, 2^400455000 is an apocalyptic number.

400455000 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 400455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740153700).

400455000 is an abundant number, since it is smaller than the sum of its proper divisors (1079852400).

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

400455000 is a wasteful number, since it uses less digits than its factorization.

400455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 400455000 is about 20011.3717670728. The cubic root of 400455000 is about 737.0855662549.

The spelling of 400455000 in words is "four hundred million, four hundred fifty-five thousand".