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398042400 = 253527192943

398042400 has 576 divisors, whose sum is σ = 1649894400. Its totient is φ = 81285120.

The previous prime is 398042383. The next prime is 398042417. The reversal of 398042400 is 4240893.

It is a happy number.

It is a Cunningham number, because it is equal to 199512-1.

It is an interprime number because it is at equal distance from previous prime (398042383) and next prime (398042417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9256779 + ... + 9256821.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2398042400 is an apocalyptic number.

398042400 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 398042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

398042400 is an abundant number, since it is smaller than the sum of its proper divisors (1251852000).

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

398042400 is a wasteful number, since it uses less digits than its factorization.

398042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 398042400 is about 19950.9999749386. Note that the first 4 decimals coincide. The cubic root of 398042400 is about 735.6023568778.

The spelling of 398042400 in words is "three hundred ninety-eight million, forty-two thousand, four hundred".