400950000 has 420 divisors, whose sum is σ = 1588163976. Its totient is φ = 97200000.

The previous prime is 400949999. The next prime is 400950023. The reversal of 400950000 is 59004.

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 83 ways as a sum of consecutive naturals, for example, 36449995 + ... + 36450005.

Almost surely, 2^400950000 is an apocalyptic number.

400950000 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 400950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794081988).

400950000 is an abundant number, since it is smaller than the sum of its proper divisors (1187213976).

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

400950000 is an frugal number, since it uses more digits than its factorization.

400950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 400950000 is about 20023.7359151583. The cubic root of 400950000 is about 737.3891435406.

The spelling of 400950000 in words is "four hundred million, nine hundred fifty thousand".