398973600 has 360 divisors, whose sum is σ = 1497279168. Its totient is φ = 103334400.

The previous prime is 398973599. The next prime is 398973623. The reversal of 398973600 is 6379893.

It is a happy number.

398973600 is a `hidden beast` number, since 39 + 8 + 9 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3045535 + ... + 3045665.

Almost surely, 2^398973600 is an apocalyptic number.

398973600 is a gapful number since it is divisible by the number (30) 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 398973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584).

398973600 is an abundant number, since it is smaller than the sum of its proper divisors (1098305568).

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

398973600 is a wasteful number, since it uses less digits than its factorization.

398973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 398973600 is about 19974.3235179567. The cubic root of 398973600 is about 736.1755449261.

The spelling of 398973600 in words is "three hundred ninety-eight million, nine hundred seventy-three thousand, six hundred".