398292480 has 240 divisors, whose sum is σ = 1407566160. Its totient is φ = 104054784.

The previous prime is 398292443. The next prime is 398292481. The reversal of 398292480 is 84292893.

398292480 is a `hidden beast` number, since 3 + 9 + 82 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398292481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359214 + ... + 1359506.

It is an arithmetic number, because the mean of its divisors is an integer number (5864859).

Almost surely, 2^398292480 is an apocalyptic number.

398292480 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 398292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703783080).

398292480 is an abundant number, since it is smaller than the sum of its proper divisors (1009273680).

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

398292480 is a wasteful number, since it uses less digits than its factorization.

398292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 398292480 is about 19957.2663458701. The cubic root of 398292480 is about 735.7563780953.

The spelling of 398292480 in words is "three hundred ninety-eight million, two hundred ninety-two thousand, four hundred eighty".