451354420352 has 128 divisors (see below), whose sum is σ = 1047101644800. Its totient is φ = 191624832000.

The previous prime is 451354420337. The next prime is 451354420369. The reversal of 451354420352 is 253024453154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780577 + ... + 2018207.

It is an arithmetic number, because the mean of its divisors is an integer number (8180481600).

Almost surely, 2^451354420352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451354420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523550822400).

451354420352 is an abundant number, since it is smaller than the sum of its proper divisors (595747224448).

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

451354420352 is a wasteful number, since it uses less digits than its factorization.

451354420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237746 (or 237734 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 451354420352 in words is "four hundred fifty-one billion, three hundred fifty-four million, four hundred twenty thousand, three hundred fifty-two".