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997410960 = 2432571321171
BaseRepresentation
bin111011011100110…
…100100010010000
32120111210201121200
4323130310202100
54020314122320
6242545551200
733500565450
oct7334644220
92514721550
10997410960
11472015687
1223a045500
1312b841900
1496675d60
155c86e290
hex3b734890

997410960 has 360 divisors, whose sum is σ = 4148823744. Its totient is φ = 210263040.

The previous prime is 997410919. The next prime is 997410971. The reversal of 997410960 is 69014799.

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 71 ways as a sum of consecutive naturals, for example, 851175 + ... + 852345.

Almost surely, 2997410960 is an apocalyptic number.

997410960 is a gapful number since it is divisible by the number (90) 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 997410960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074411872).

997410960 is an abundant number, since it is smaller than the sum of its proper divisors (3151412784).

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

997410960 is a wasteful number, since it uses less digits than its factorization.

997410960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 997410960 is about 31581.8137541212. The cubic root of 997410960 is about 999.1362408015.

The spelling of 997410960 in words is "nine hundred ninety-seven million, four hundred ten thousand, nine hundred sixty".