451400400 has 180 divisors, whose sum is σ = 1709042400. Its totient is φ = 109420800.

The previous prime is 451400381. The next prime is 451400401. The reversal of 451400400 is 4004154.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×451400400² = 407524642240320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451400401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33901 + ... + 45299.

It is an arithmetic number, because the mean of its divisors is an integer number (9494680).

Almost surely, 2^451400400 is an apocalyptic number.

451400400 is a gapful number since it is divisible by the number (40) 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 451400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854521200).

451400400 is an abundant number, since it is smaller than the sum of its proper divisors (1257642000).

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

451400400 is a wasteful number, since it uses less digits than its factorization.

451400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 451400400 is about 21246.1855399975. The cubic root of 451400400 is about 767.1035275388.

Adding to 451400400 its reverse (4004154), we get a palindrome (455404554).

The spelling of 451400400 in words is "four hundred fifty-one million, four hundred thousand, four hundred".