467990400 has 288 divisors, whose sum is σ = 1634437800. Its totient is φ = 117555200.

The previous prime is 467990389. The next prime is 467990417. The reversal of 467990400 is 4099764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11414380 + ... + 11414420.

Almost surely, 2^467990400 is an apocalyptic number.

467990400 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 467990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817218900).

467990400 is an abundant number, since it is smaller than the sum of its proper divisors (1166447400).

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

467990400 is a wasteful number, since it uses less digits than its factorization.

467990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 467990400 is about 21633.0857715676. The cubic root of 467990400 is about 776.3882989551.

The spelling of 467990400 in words is "four hundred sixty-seven million, nine hundred ninety thousand, four hundred".